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A New Method for Ordering Fuzzy Number
A New Method for Ordering Fuzzy Number
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en
Ranking fuzzy numbers is an important aspect of decision making in a fuzzy environment. In fuzzy
decision making problems, fuzzy numbers must be ranked before an action is taken by a decision
maker. This article is about ranking Fuzzy numbers and describes a ranking method for ordering
LR fuzzy numbers based on the area of fuzzy numbers. This method is simple in evaluation and can
rank various types of LR fuzzy numbers and also crisp numbers which are considered to be a
special class of fuzzy numbers.
283
294
S. H.
Nasseri
F.
Taleshian
Z.
Alizadeh
J.
Vahidi
fuzzy number
ranking function.
ranking method
Article.1.pdf
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On Lorentzian \(\alpha\)-sasakian Manifolds
On Lorentzian \(\alpha\)-sasakian Manifolds
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en
We study Ricci-semi symmetric, \(\phi\)-Ricci semisymmetric and \(\phi\)-symmetric Lorentzian \(\alpha\)-Sasakian manifolds. Also, we study a Lorentzia \(\alpha\)-Sasakian manifold satisfies
\(S(X ,\xi).R = 0\) .
295
300
A.
Taleshian
N.
Asghari
Ricci semisymmetric Lorentzia \(\alpha\)-Sasakian manifold
\(\phi\)-Ricci symmetric Lorentzian \(\alpha\)-Sasakian manifold
\(\phi\)-symmetric Lorentzian \(\alpha\)-Sasakian manifold.
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]
On the Anisotropic Wiener-Hopf Operator, Connected with Helmholtze-Sohrodinger Equation
On the Anisotropic Wiener-Hopf Operator, Connected with Helmholtze-Sohrodinger Equation
en
en
In this article, solvability of one the anisotropic Helmholtz-Shrodinger equation with the boundary
conditions of the first and second type is investigated in the upper and lower half –space, (x5>0,
x5<0), in 5 dimensions. Solvability of these boundary problems reduces to solvability of Rieman-
Hilbert boundary problem, in general necessary and sufficient conditions for the correctness of the
problem in the Sobolev space are presented as well as explicit formulas for a factorization of the
Fourier symbol matrix of the one-medium problem. The solvability analysis is based on the
factorization problem of some matrix-function.
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309
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Matikolai
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]
Symbolic Computation and New Soliton-like Solutions to the (2+1)-dimensional Toda Lattice
Symbolic Computation and New Soliton-like Solutions to the (2+1)-dimensional Toda Lattice
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en
In this paper, with the aid of symbolic computation, an algebraic algorithm is
proposed to construct soliton-like solutions to (2+1)-dimensional differentialdifference
equations. The famous (2+1)-dimensional Toda equation is explicitly
solved and some new classes of soliton-like solutions are obtained.
310
316
Lan-Lan
Huang
Kai-Teng
Wu
Guo-Cheng
Wu
symbolic computation
soliton-like solutions
non-travelling solution.
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On Almost Pseudo Concircularly Symmetric Manifolds
On Almost Pseudo Concircularly Symmetric Manifolds
en
en
The object of the present paper is to study a type of non-flat Riemannian manifold called
almost pseudo concircularly symmetric manifold. The existence of an almost pseudo
concircularly symmetric manifold is also shown by two non-trivial examples.
317
330
U. C.
De
S.
Mallick
concircularly symmetric manifold
almost pseudo concircularly symmetric manifold
almost pseudo symmetric manifold
quasi-Einstein manifold
Codazzi type of Ricci tensor
Ricci symmetric manifold.
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Taylor Series Method for the System of Linear Volterra Integro-differential Equations
Taylor Series Method for the System of Linear Volterra Integro-differential Equations
en
en
A method to determine the numerical solution of system of linear Volterra integro-differential equations
(IDEs) is proposed. The method obtains Taylor expansion for the exact solution of system of linear Volterra
IDEs at initial point \(x = 0\). In addition, we introduce a procedure to obtain an approximation for Taylor
expansion of the exact solution at \(x\neq 0\). Moreover, error estimation of the proposed methods is presented.
The efficiency and applicability of the presented methods is illustrated by some numerical examples.
331
343
J.
Rashidinia
A.
Tahmasebi
system of linear Volterra integro-differential equations
numerical solution
Taylor expansion
power series method
integral equation.
Article.6.pdf
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]
Optimized Solution of Pressure Vessel Design Using Geometric Programming
Optimized Solution of Pressure Vessel Design Using Geometric Programming
en
en
Geometric programming is a methodology for solving algebraic nonlinear optimization
problems. It provides a powerful tool for solving nonlinear problems where nonlinear relations can be
well presented by an exponential or power function. This feature is especially advantageous in situations
where the optimal value of the objective function may be all that is of interest. In such cases, calculation
of the optimum design vectors can be omitted. The goal of this paper is to state the problem of Pressure
vessel design and after that finding a better optimized solution using geometric programme.
344
349
S. H.
Nasseri
Z.
Alizadeh
F.
Taleshian
Geometric programming
pressure vessel design
optimization
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]
A Minimax Inequality for a Class of Functionals and Its Applications to Existence of Multiple Solutions for Elliptic Equations
A Minimax Inequality for a Class of Functionals and Its Applications to Existence of Multiple Solutions for Elliptic Equations
en
en
In this paper, we establish an equivalent statement of minimax inequality for a special
class of functionals. As an application, we discuss the existence of three solutions to the
Dirichlet problem \[
\begin{cases}
\Delta_{p}u=\lambda f(x,u)=a(x)|u|^{p-2}u,\,\,\,\,\, \texttt{in} \Omega,\\
u=0,\,\,\,\,\, \texttt{on} \partial \Omega.
\end{cases}
\]
350
360
M.
Khaleghi Moghadam
G. A.
Afrouzi
J.
Vahidi
Minimax inequality
Critical point
Three solutions
Multiplicity results
Dirichlet problem.
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]
Controlling the Green-House Irrigation System in Fuzzy Logic Method
Controlling the Green-House Irrigation System in Fuzzy Logic Method
en
en
The idea of irrigation is not a new topic and its history refers to pre-historic era. Even the idea of automatic irrigation is not new. At present, there is no efficient automatic irrigation system that can irrigate the plants optimally and use the minimum water in different stage of plant growth(1). Nowadays, computer-monitoring of green-house irrigation systems is very necessary. Many of the common control methods are based on two-state (on/off) control methods and/or proportionate closed-loop control methods which cause increase of energy waste and decrease in productivity. The present research paper provides a solution for an irrigation controller based on fuzzy logic. Firstly, the main problems of irrigation are discussed; then, the physical model for controlling green-house irrigation system is described. Subsequently, the stages of designing a green-house irrigation control system with the aid of fuzzy logic are presented. This system is able to determine the volume of water required by plants in a specific depth through collecting information from environmental conditions existing inside the green house, the characteristics of the soil, and the type of plants as well as employing famous models of irrigation and water evaporation from the soil surface.
361
370
Seyed Kamaleddin
Mousavi Mashhadi
Mojtaba
Shokohi Nia
Mohammad Reza
Shokohi Nia
Fuzzy logic
Green- house
Fuzzy irrigation
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Analytical Solution for Nnonlinear Vibration of Micro-electromechanical System (MEMS) by Frequency-amplitude Formulation Method
Analytical Solution for Nnonlinear Vibration of Micro-electromechanical System (MEMS) by Frequency-amplitude Formulation Method
en
en
In this paper, one analytical technique named Frequency-Amplitude Formulation Method (FAF) isused to obtain the behavior and frequency of theelectrostatically actuated microbeams. The main aim of the work is obtaining highly accurate analytical solution for nonlinear free vibration of a microbeam and investigates the dynamic behavior of the system. Results reveal that the nonlinear frequency of oscillatory system remarkably affected with the initial conditions. In contrast to the time marching solution results, the present analytical method is effective and convenient. It is predictable that the FAF can apply for various problems in engineering specially vibration equations.
371
379
M.
Mashinchi Joubari
R.
Asghari
FAF
microbeams
Frequency-Amplitude Formulation
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Y. M. Fu, J. Zhang, L. J. Wan, Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS), Curr. Appl. Phys., 11 (2011), 482-485
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A. Fereidoon, D. D. Ganji, H. D. Kaliji, M. Ghadimi, Analytical solution for vibration of buckled beams, International Journal of Research and Reviews in Applied Sciences, 4 (2010), 17-21
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S. S. Ganji, A. Barari, M. G. Sfahani, G. Domairry, P. Teimourzadeh Baboli, Consideration of transient stream/aquifer interaction with the nonlinear Boussinesq equation using HPM, Journal of King Saud University-Science, 23 (2011), 211-216
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A. R. Sohouli, M. Famouri, A. Kimiaeifar, G. Domairry, Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux, Commun. Nonlinear Sci. Numer. Simulat., 15 (2010), 1691-1699
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A. Barari, H. D. Kaliji, M. Ghadimi, G. Domairry, Non-linear vibration of Euler-Bernoulli beams, Latin American Journal of Solids and Structures, Vol. 8, 139--148, (2011)
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H. I. H. Abdel-Halim, Application to differential transformation method for solving systems of differential equations, Applied Mathematical Modeling, 32 (2008), 2552-2559
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H. D. Kaliji, A. Fereidoon, M. Ghadimi, M. Eftari, Analytical Solutions for Investigating Free Vibration of Cantilever Beams, World Applied Sciences Journal (Special Issue of Applied Math), 9 (2010), 44-48
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L. Zhao, He’s frequency–amplitude formulation for nonlinear oscillators with an irrational force, Computers and Mathematics with Applications, 58 (2009), 2477-2479
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A. Fereidoon, M. Ghadimi, A. Barari, H. D. Kaliji, G. Domairry, Nonlinear vibration of oscillation systems using frequency-amplitude formulation, Journal of Shock and Vibration, 18 (2011), 1-10
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J. H. He, Max–min approach to nonlinear oscillators, Int. J. Nonlinear Sci. Numer. Simul, 9 (2008), 207-210
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L. B. Ibsen, A. Barari, A. Kimiaeifar, Analysis of highly nonlinear oscillation systems using He’s max–min method and comparison with homotopy analysis and energy balance methods, Sadhana, 35 (2010), 433-448
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S. S. Ganji, A. Barari, D. D. Ganji, Approximate analysis of two-mass–spring systems and buckling of a column, Computers and Mathematics with Applications, 61 (2011), 1088-1095
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M. G. Sfahani, S. S. Ganji, A. Barari, H. Mirgolbabaei, G. Domairry, Analytical solutions to nonlinear conservative oscillator with fifth-order nonlinearity, Earthquake Engineering and Engineering Vibration, 9 (2010), 367-374
##[38]
M. Ghadimi, H. D. Kaliji, A. Barari, Analytical Solutions to Nonlinear Mechanical Oscillation Problems, Journal of Vibroengineering, 13 (2011), 133-143
]
Ergodicity of Fuzzy Markov Chains Based on Simulation Using Halton Sequences
Ergodicity of Fuzzy Markov Chains Based on Simulation Using Halton Sequences
en
en
We first introduce fuzzy finite Markov chains and present some of their fundamental properties based on possibility theory. We also bring in a way to convert fuzzy Markov chains to classic Markov chains. In addition, we simulate fuzzy Markov chain using different sizes. It is observed that the most of fuzzy Markov chains not only do have an ergodic behavior, but also they are periodic. Finally, using Halton quasi-random sequence we generate some fuzzy Markov chains which compared to the ones generated by the RAND function of MATLAB. Therefore, we improve the periodicity behavior of fuzzy Markov chains.
380
385
Behrouz
Fathi Vajargah
Maryam
Gharehdaghi
Fuzzy Markov Chains
Stationary Distribution
Ergodicity
Simulation
Halton Quasi-Random Sequence.
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R. Araiza, G. Xiang, O. Kosheleva, D. Skulj, Under interval and fuzzy uncertainty, symmetric Markov chains are more difficult to predict. Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS), IEEE Annual Meeting of the North American Fuzzy Information Processing Society, 2007 (2007), 526-531
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]
Existence of Three Weak Solutions for Elliptic Dirichlet Problem
Existence of Three Weak Solutions for Elliptic Dirichlet Problem
en
en
The aim of this paper is to establish the existence of at least three weak solutions for the elliptic Dirichlet problem . Our main tool is a three critical point theorem and Therorem3.1 . of Gabriele Bonanno , Giovanni Molica Bisci [4] .
386
391
G. A.
Afroiuz
T. N.
Ghara
Dirichlet problem
Critical points
Three noitulos
Article.12.pdf
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[1]
D. Averna, G. Bonanno, A three critical points theorem and its applications to ordinary Dirichlet problems, Topol. Methods Nonlinear Anal., 22 (2003), 93-103
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G. A. Afrouzi, S. Heidarkhani, Three solutions for a Dirichlet boundary value problem involving the p-Laplacian, Nonlinear Analysis: Theory, Methods & Applications, 66 (2007), 2281-2288
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G. Bonanno, Some remarks on a three critical points theorem, Nonlinear Analysis: Theory, Methods & Applications, 54 (2003), 651-665
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G. Bonanno, G. M. Bisci, Three weak solutions for elliptic Dirichlet problems, J. Math. Anal. Appl., 382 (2011), 1-8
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B. Ricceri, On a three critical points theorem, Arch. Math. (Basel) , 75 (2000), 220-226
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B. Ricceri, Existence of three solutions for a class of elliptic eigenvalue problems, Math. Comput. Modelling, 32 (2000), 1485-1494
]
A Two Objective Model for Location-allocation in a Supply Chain
A Two Objective Model for Location-allocation in a Supply Chain
en
en
In today's competitive world, location-allocation (LA) decisions are one of the most important aspects
of supply chain (SC) optimization. This LA decisions are including selection of known sites for
construction of facilities and allocation of the distribution network between the levels of SC. In this
paper, a nonlinear programming model to location facilities and allocate the supply chain distribution
network in order to minimize both the cost and time of three-echelon are presented. The proposed
model due to computational complexity in high dimensions cannot be solved with conventional and
accurate methods, Therefore to achieve a solution of a method metaheuristic called genetic algorithm
is used. Finally, to examine and the effectiveness of the proposed algorithm, computational results
obtained are compared with output of lingo 12 software.
392
401
Amirhossein
Nobil
Abolfazl
Kazemi
Alireza
Alinejad
Location-allocation
Supply chain
nonlinear programming
Genetic Algorithms
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N. Zarrinpour, H. Shavandi, J. Bagherinejad, Extension of the Maximal Covering Location- Allocation Model for Congested System in the Competitive and User-choice Environment, International Journal of Industrial Engineering & Production Management, 22 (2012), 393-404
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M. S. Jabalameli, K. Shahanaghi, R. Hosnavi, M. R. Nasiri, A Combined Model for Locating Critical Centers (HAPIT), International Journal of Industrial Engineering & Production Management, 20 (2010), 65-76
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H. Stadtler, C. Kilger, Supply chain management and advanced planning, Springer, (2000)
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M. T. Taghavifard, A. Shahsavari, Multi-Objective Location-Allocation Problems Using Simulated Annealing, International Journal of Industrial Engineering & Production Management, 19 (2009), 93-105
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]
T-age Replacement Policy in Fuzzy Renewal Reward Processes
T-age Replacement Policy in Fuzzy Renewal Reward Processes
en
en
This paper studies a renewal reward process with fuzzy reward and fuzzy random inter arrival times. A theorem about the long run average fuzzy reward and fuzzy life time is proved. The original problem is evaluating the membership of the long run average fuzzy cost per unit time that for obtaining membership, we should solve a nonlinear programming problem. Finally, some application example is provided to illustrate the result.
402
410
Behrouz
Fathi Vajargah
Sara
Ghasemalipour
Fuzzy renewal reward processes
Fuzzy random reward
Fuzzy random variables
Membership function
Fuzzy life time
Nonlinear programming
Article.14.pdf
[
[1]
R. Zhao, B. Liu, Renewal process with fuzzy interarrival times and rewards, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 11 (2003), 573-586
##[2]
S. Wang, J. Watada, Fuzzy random renewal reward process and its applications, Inform. Sci., 179 (2009), 4057-4069
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C. Valdez-Florez, R. M. Feldman, A survey of preventive maintenance models for stochastically deteriorating singleunit systems, Naval Research Logistics, 36 (1989), 419-446
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P. T. Chang, Fuzzy strategic replacement analysis, European Journal of Operational Research, 16 (2005), 532-559
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E. Popova, H. C. Wu, Renewal reward processes with fuzzy rewards and their applications to T-age replacement policies, European Journal of Operational Research, 117 (1999), 606-617
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]
Artificial Neural Network Based Model of Photovoltaic Thermal (pvt) Collector
Artificial Neural Network Based Model of Photovoltaic Thermal (pvt) Collector
en
en
This paper presents a new application of Artificial Neural Network (ANN) for modeling a Photovoltaic Thermal collector (PV/T). Both thermal and electrical modeling performed. Ambient temperature of collector, cell temperature, fluid temperature at duct inlet, fluid velocity in duct, solar identity and time are used in the input layer and the thermal efficiency and electrical efficiency are outputs. Networks with different hidden layers used for modeling and performances evaluated with maximum correlation coefficient \((R^2)\), minimum root mean square error (RMSE) and low coefficient of variance (COV). The results showed that the ANN with 1 hidden Layer and 10 neurons in this layer has the best performance. The experimental data measured at meteorological conditions of Zahedan were used as training data. The Levenberg-Marquard backpropagation algorithm has been used for training network. The results of this work indicated that for evaluating PV/T performance researchers can use this method by conducting limited experiments.
411
417
Hamze
Ravaee
Saeid
Farahat
Faramarz
Sarhaddi
Artificial Neural Network
Photovoltaic thermal collector (PV/T)
Thermal and electrical modeling.
Article.15.pdf
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[1]
M. Balzani, A. Reatti, Neural Network Based Model of a PV Array for the Optimum Performance Of PV system, Proceeding of IEEE International Conference on Microelectronics and electronics, 2005 (2005), 123-126
##[2]
E. Papadopoulou, Photovoltaic Industrial systems: An Environmental Approach, Springer, Berlin (2011)
##[3]
T. T. Chow, A review on photovoltaic/thermal hybrid solar technology, Applied Energy, 87 (2010), 365-379
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A. Mellit, S. A. Kalogirou, Artificial Intelligence techniques for photovoltaic applications: A review, Progress in energy and combustion science, 34 (2008), 574-632
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T. Hiyama, K. Kitabayashi, Neural Network Based Estimation of Maximum Power generation from PV module Using Environmental Information, IEEE Transactions on Energy Conversion, 12 (1997), 241-247
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I. Farkas, P. Geczy-Vıg, Neural network modeling of flat-plate solar Collectors, Computers and Electronics in Agriculture, 40 (2003), 87-102
##[7]
A. Mellit, M. Benghanem, A. Hadj Arab, A. Guessoum, An adaptive artificial neural network model for sizing stand-alone photovoltaic systems: application for isolated sites in Algeria, Renewable Energy, 30 (2005), 1501-1524
##[8]
A. Sozen, T. Menlik, S. Unvar, Determination of efficiency of flat-plate solar collectors using neural network approach, Expert Systems with Applications, 35 (2008), 1533-1539
##[9]
M. S. S. Ashhab, Optimization and modeling of a photovoltaic solar integrated system by neural networks, Energy Conversion and Management, 49 (2008), 3349-3355
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H. Xie, L. Liu, F. Ma, H. Fan, Performance Prediction of Solar Collectors Using Artificial Neural Networks, International Conference on Artificial Intelligence and Computational Intelligence, 573--576, (2009)
##[11]
F. Sarhaddi, S. Farahat, H. Ajam, A. Behzadmehr, M. M. Adeli, An Improved thermal and electrical model for a solar photovoltaic thermal (PV/T) air collector, Applied Energy, 87 (2010), 2328-2339
##[12]
A. S. Joshi , A. Tiwari, G. N. Tiwari, I. Dincer, B. V. Reddy, Performance evaluation of a hybrid photovoltaic thermal (PV/T) (glass-to-glass) system, International Journal of Thermal Science, 48 (2009), 154-164
##[13]
A. Tiwari, S. Dubey, G. S. Sandhu, M. S. Sodha, S. I. Anwar, Exergy analysis of integrated photovoltaic thermal solar water heater under constant flow rate and constant collection temperature modes, Applied Energy, 86 (2009), 2592-2597
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W. De Soto, Improvement and validation of a model for photovoltaic array performance, M.S Thesis (Solar Energy Laboratory, University of Wisconsin Madison), U.S.A. (2004)
]
Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method
Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method
en
en
In this paper, Newton Harmonic Balancing Method (NHBM) is applied to scrutinize free vibration analysis of the nonlinear oscillatory systems. This method is combined by the Harmonic Balance and Newton's methods. Two classical cases are used to illustrate the applicable of NHBM and results compared by other analytical methods and ODE solver built in MATLAB. The results of the NHBM are shown that the solution quickly convergent and does not need to complicated calculations. So it is applied for various problems in engineering specially vibration equations.
418
427
M.
Mashinchi Joubari
R.
Asghari
M.
Zareian Jahromy
Newton Harmonic Balance Method
Nonlinear vibration
Oscillatory system
high accuracy
Article.16.pdf
[
[1]
R. J. Yatawara, R. D. Neilson, A. D. S. Barr, Theory and experiment on establishing the stability boundaries of a one-degree-of-freedom system under two high- frequency parametric excitation inputs, Journal of Sound and Vibration, 297 (2006), 962-980
##[2]
A. M. Othman, D. Watt, A. D. S. Barr, Stability boundaries of an oscillator under high frequency multi-component parametric excitation, Journal of Sound and Vibration, 112 (1987), 249-259
##[3]
J. F. Lu, An analytical approach to the Fornberg–Whitham type equations by using the variational iteration method, Computers and Mathematics with Applications, 61 (2011), 2010-2013
##[4]
Y. Nawaz, Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations, Computers and Mathematics with Applications, 61 (2011), 2330-2341
##[5]
S. M. Moghimia, D. D. Ganji, H. Bararnia, M. Hosseini, M. Jalaal, Homotopy perturbation method for nonlinear MHD Jeffery–Hamel Problem, Computers and Mathematics with Applications, 61 (2011), 2213-2216
##[6]
A. R. Ghotbi, H. Bararnia, G. Domairry, A. Barari, Investigation of a powerful analytical method into natural convection boundary layer flow, Commun. Nonlinear Sci. Numer. Simulat., 14 (2009), 2222-2228
##[7]
A. R. Sohouli, M. Famouri, A. Kimiaeifar, G. Domairry, Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux, Commun. Nonlinear Sci. Numer. Simulat., 15 (2010), 1691-1699
##[8]
A. Fereidoon, D. D. Ganji, H. D. Kaliji, M. Ghadimi, Analytical solution for vibration of buckled beams, International Journal of Research and Reviews in Applied Sciences, 4 (2010), 17-21
##[9]
F. Farrokhzad, P. Mowlaee, A. Barari, A. J. Choobbasti, H. D. Kaliji, Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods, Carpathian Journal of Mathematics, 27 (2011), 51-63
##[10]
S. M. Guo, L. Q. Mei, The fractional variational iteration method using He’s polynomials, Phy. Lett. A, 375 (2011), 309-313
##[11]
J. Biazar, M. Gholami Porshokouhi, B. Ghanbari, M. Gholami Porshokouhi, Numerical solution of functional integral equations by the variational iteration method, Journal of Computational and Applied Mathematics, 235 (2011), 2581-2585
##[12]
H. D. Kaliji, A. Fereidoon, M. Ghadimi, M. Eftari, Analytical Solutions for Investigating Free Vibration of Cantilever Beams, World Appl. Sci. J., 9 (2010), 44-48
##[13]
A. Barari, H. D. Kaliji, M. Ghadimi, G. Domairry, Non-linear vibration of Euler-Bernoulli beams, Latin American Journal of Solids and Structures, 8 (2011), 139-148
##[14]
A. Fereidoon, M. Ghadimi, H. D. Kaliji, M. Eftari, S. Alinia, Variational Iteration Method for Nonlinear Vibration of Systems with Linear and Nonlinear Stiffness, International Journal of Research and Review in Applied Siences, 5 (2010), 260-263
##[15]
Z. Ling, He’s frequency–amplitude formulation for nonlinear oscillators with an irrational force, Computers and Mathematics with Applications, 58 (2009), 2477-2479
##[16]
J.-H. He, Max–min approach to nonlinear oscillators, Int. J. Nonlinear Sci. Numer. Simul., 9 (2008), 207-210
##[17]
S. S. Ganji, A. Barari, D. D. Ganji, Approximate analysis of two-mass–spring systems and buckling of a column, Computers and Mathematics with Applications, 61 (2011), 1088-1095
##[18]
T. Özis, A. Yıldırım, Determination of the frequency–amplitude relation for a Duffing-harmonic oscillator by the energy balance method, Computers and Mathematics with Applications, 54 (2007), 1184-1187
##[19]
A. Fereidoon, M. Ghadimi, A. Barari, H. D. Kaliji, G. Domairry, Nonlinear vibration of oscillation systems using frequency-amplitude formulation, Shock and Vibration, 19 (2012), 323-332
##[20]
A. Beléndez, D. I. Méndez, T. Beléndez, A. Hernández, M. L. Álvarez, Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable, Journal of Sound and Vibration, 314 (2008), 775-782
##[21]
B. S. Wu, W. P. Sun, C. W. Lim, An analytical approximate technique for a class of strongly non-linear oscillators, International Journal of Non-Linear Mechanics, 41 (2006), 766-774
##[22]
S. K. Lai, C. W. Lim, B. S. Wu, C. Wang, Q. C. Zeng, X. F. He, Newton–harmonic balancing approach for accurate solutions to nonlinear cubic–quintic Duffing oscillators, Applied Mathematical Modelling, 33 (2009), 852-866
##[23]
L. B. Ibsen, A. Barari, A. Kimiaeifar, Analysis of highly nonlinear oscillation systems using He’s max–min method and comparison with homotopy analysis and energy balance methods, Sadhana, 35 (2010), 1-16
##[24]
J. H. He , Non-perturbative methods for strongly nonlinear problems, Dissertation.de-Verlag im Internet GmbH, Berlin (2006)
##[25]
R. E. Mickens, Mathematical and numerical study of the Duffing-harmonic oscillator, Journal of Sound and Vibration, 244 (2001), 563-567
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S. B. Tiwari, B. N. Rao, N. S. Swamy, K. S. Sai, H. R. Nataraja, Analytical study on a Duffing-harmonic oscillator, Journal of Sound and Vibration, 285 (2005), 1217-1222
##[27]
J.-H. He, Variational iteration method - a kind of non-linear analytical technique: some examples, International Journal of Non-Linear Mechanics, 34 (1999), 699-708
##[28]
H. Babazadeh, D. D. Ganji, M. Akbarzade, He’s energy Balance method to evaluate the effect of amplitude on the natural frequency in nonlinear vibration systems, Progress In Electromagnetics Research, 4 (2008), 143-154
]
Using a Hybrid Simulated Annealing and Genetic Algorithms for Non Fixed Destination Multi-depot Multiple Traveling Salesmen Problem with Time Window and Waiting Penalty
Using a Hybrid Simulated Annealing and Genetic Algorithms for Non Fixed Destination Multi-depot Multiple Traveling Salesmen Problem with Time Window and Waiting Penalty
en
en
The non-fixed destination multi-depot multiple traveling salesmen problem (MmTSP) is a generalization of well-known MTSP with several salesmen in each depot. In this research, time window is defined for each depot (city).the salesmen only can service the customers within these time windows and also some penalties are considered for any deviation of start time. The objective function of problem is to minimize the total costs and penalties of the tours. This problem is of a great complexity and belongs to NP-complete class of problems. So the exact algorithms cannot perform the best solution in problems with big dimension. So Meta heuristics algorithm is used to solve these problems efficiently. In this research we used hybrid simulated annealing and genetic algorithms.
428
435
M. T.
Shirafkan
H.
Seidgar
J.
Rezaian-Zeidi
N.
Javadian
Multiple traveling salesmen
Genetic algorithm
simulated annealing
Time window
Article.17.pdf
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A. Modares, S. Somhom, T. Enkawa, A self-organizing neural network approach for multiple traveling salesman and vehicle routing problems, International Transactions in Operational Research, 6 (1999), 591-606
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T. Zhang, W. A. Gruver, M. H. Smith, Team scheduling by genetic search, Proceedings of the second international conference on intelligent processing and manufacturing of materials, 2 (1999), 839-844
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Z. Yu, L. Jinhai, G. Guochang, Z. Rubo, Y. Haiyan, An implementation of evolutionary computation for path planning of cooperative mobile robots, Proceedings of the 4th World Congress on Intelligent Control and Automation, 2002 (2002), 1798-1802
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R. F. Da Silva, S. Urrutia, A General VNS heuristic for the traveling salesman problem with time windows, Discrete Optimization, 7 (2010), 203-211
]
Application of Adomian Decomposition Method to Nonlinear Heat Transfer Equation
Application of Adomian Decomposition Method to Nonlinear Heat Transfer Equation
en
en
The Adomian Decomposition Method is employed in the solution of the unsteady convective radiative equation. The Adomian Decomposition Method is provided an analytical solution in the form of an infinite power series. The comparison of the results obtained by ADM and VIM The effect of Adomian polynomials terms is considered on accuracy of the results. The temperature profiles in fin are obtained. Results show a good accuracy. The Adomian decomposition method (ADM) is used in obtaining more meaningful and valid solutions.
436
447
H.
Heidarzadeh
M. Mashinchi
Joubari
R.
Asghari
Adomian decomposition method
Heat transfer
Radiation equation
Article.18.pdf
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D. Q. Kem, D. A. Kraus, Extended Surface Heat Transfer, McGraw–Hill, New York (1972)
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M. N. Bouaziz, S. Renak, S. Hanini, Y. Bal, K. Bal , Etude des transferts de chaleur non linéaires dans les ailettes longitudinales, Int. J. Thermal Sci., 40 (2001), 1-843
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M. A. Abdou, A. A. Soliman, variational iteration method for solving Burger' and coupled Burger's equations, J. Comput. Appl. Math. , 181 (2) (2005), 1-245
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J. H. He, Variational iteration method - a kind of non-linear analytical technique :some examples Int. , Nonlinear Mech. , 344 (1999), 1-699
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S. Abbasbandy, A. Shirzadi, The variational Iteration Method for a Family of Fifth- Order Boundary Value Differential Equations, International Journal of Nonlinear Dynamics in Engineering and Sciences, 1 (2009), 39-46
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A. M. Wazwaz, Partial Differential Equations: Methods and Applications, Balkema, Rottesdam (2002)
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Z. Ziabakhsh, G. Domairry , Solution of the laminar viscous flow in a semi-porous channel in the presence of a uniform magnetic field by using the homotopy analysis method, Communications in Nonlinear Science and Numerical Simulation, DOI: 10.1016/j.cnsns.2007.12.011. , (2008), -
##[16]
Z. Ziabakhsh, G. Domairry, Homotopy Analysis Solution of Micro-Polar Flow in a Porous Channel with High Mass Transfer , ADVANCES IN THEORETICAL AND APPLIED MECHANICS, 1 (2008), 79-94
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D. D. Ganji, A. Rajabi, Assessment of homotopy–perturbation and perturbation method in heat radiation equations, Int. Commun. Heat Mass Transfer , 33 (3) (2006), 1-391
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J. H. He, Homotopy perturbation technique, Comput. Methods Appl. Mech. Eng. , 178 (1999), 1-257
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J. H. He, A coupling method of a homotopy technique and a perturbation technique fornon-linear problems, Int. J. Nonlinear Mech. , 35 (2000), 1-37
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S. S. Ganji, D. D. Ganji, S. Karimpour, H. Babazadeh, Applications of He’s Homotopy Perturbation Method to Obtain Second-order Approximations of the Coupled Two- Degree-of-Freedom Systems, International Journal of Non-Linear Science and Numerical Simulation, 10(3) (2009), 303-312
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S. R. Seyed Alizadeh, G. Domairry, S. Karimpour, An approximation of the analytical solution of the linear and nonlinear integro-differential equations by homotopy perturbation method , Acta Applicandae Mathematicae, doi: 10.1007/s10440-008-9261-z.. ()
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Z. Z. Ganji, D. D. Ganji, Approximate Solutions of Thermal Boundary-layer Problems in a Semi-infinite Flat Plate by using He’s Homotopy Perturbation Method , International Journal of Nonlinear Sciences and Numerical Simulation, 9(4) (2008), 415-422
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S. H. Hosein Nia, A. Ranjbar N., H. Soltani, J. Ghasemi, Effect off the Initial Approximation on Stability and Convergence in Homotopy Perturbation Method , International Journal of Nonlinear Dynamics in Engineering and Sciences, 1,1 (2009), 79-98
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H. Jafari, V. Daftardar-Gejji , Revised Adomian Decomposition Method for solving a system of non-linear equations, Appl Math Comput , 175 (2006), 1-7
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XG. Luo, QB. Wu, BQ. Zhang , Revisit on partial solutions in the Adomian decomposition method: solving heat and wave equations, JMath Anal Appl , 321(1) (2006), 353-63
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XG. Luo , A two-step Adomian Decomposition Method , Appl Math Comput, 170 (2005), 570-83
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X. Zhang , A modification of the Adomian Decomposition Method for a class of nonlinear singular boundary value problems, JComput Appl Math , 180 (2005), 377-89
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Y. Zhu, Q. Chang, S. Wu , A new algorithm for calculating Adomian polynomials, Appl Math Comput , 169 (2005), 402-16
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S. Abbasbandy , Extended Newton’s method for a system of non-linear equations by modified Adomian Decomposition Method , Appl Math Comput, 170 (2005), 648-56
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J. Biazar, E. Babolian, R. Islam , Solution of ordinary differential equations by Adomian Decomposition Method, Appl Math Comput , 147(3) (2004), 713-9
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V. Daftardar-Gejji, H. Jafari , An iterative method for solving nonlinear functional equations, J Math Anal Appl , 316 (2006), 753-63
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S. Pamuk , Solution of the porous media equation by Adomian’s decomposition method , Phys Lett A , 344 (2005), 184-8
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]
Solving an Elliptic Optimal Control Problem with BEM and FEM
Solving an Elliptic Optimal Control Problem with BEM and FEM
en
en
In this paper, a constrained optimal control problem is considered where constraint is elliptic partial differential equations of second order together with the boundary condition of Dirichlet type. The main purpose is detecting an appropriate solution for control and state function by using boundary element method in order to discretized PDEs. In this way, first a quadratic objective, linear constraints optimization problem rewritten respected to main problem, next it can be solved numerically with the help of appropriate solution algorithms, which should exploit the structure of the problem, we solved it by generalized Newton’s method. Some numerical experiments obtained by using boundary element method (BEM) and finite element method (FEM) are given in the final section of this paper.
448
455
Ali
Zakeri
Monireh
Asadi Abchouyeh
Boundary element method
optimal control problem
Poisson equation
Elliptic equation
Finite element method.
Article.19.pdf
[
[1]
M. Hinze, R. Pinnau, M. Ulbrich, S. Ulbrich, Optimization with PDE constraints, Springer, Berlin (2009)
##[2]
L. S. Pontryagin, The Mathematical Theory of Optimal Processes, John Wiley & Sons, New York (1962)
##[3]
P. Hunter, A. Pullan, FEM-BEM Notes, The University of Auckland, New Zeland (2001)
##[4]
M. Weiser, T. Ganzler, A. Schtela, A control reduced primal interior point method for PDE constrained optimization, Zuse Institute Berlin, Berlin (2004)
##[5]
D. Clever, J. Lang, Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient, Optim. Control Appl. Math., 33 (2012), 157-175
##[6]
M. Hinze, A generalized discretization concept for optimal control problem with control constraints, Institut für Numerische Mathematik (Technische Universität Dresden), Dresden (2003)
]
Hydrodynamic Modeling of Fluid Body Interaction by Fully Non-linear Numerical Towing Tank
Hydrodynamic Modeling of Fluid Body Interaction by Fully Non-linear Numerical Towing Tank
en
en
In basic design of offshore or onshore structures, prediction of surface waves due to uniform motion of the floating body is essential to achieve an optimum body shape. Whereas, in the practical hydrodynamics, using of towing tanks is common and so cost and time consuming to conduct it, so a reliable numerical tank is interesting. A wide channel with constant depth constitutescomputational domain. It assumes that fluid is incompressible and non-viscous and the flow is irrotational. Therefore, Laplace’s equation could describe flow field.3D Boundary Element method based on second Green’s Identityis implemented to solveLaplace’s equation. Impermeable boundary condition is satisfied by Image method and Cauchy integral theorem and Poisson summation formula is used to determine Principle value integral. In this study, numerical simulation is conducted for a hemisphere and added mass and generated wave profile is presented.
456
462
Arash
Abbasnia
Mahmoud
Ghiasi
Seyed Mohammad Hossein
Sharifi
preinvex function
source
Green integral
Perturbation potential.
Article.20.pdf
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C. A. Brebbia, The boundary element method for Engineers, Pentech Press, London (1978)
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O. M. Faltinsen, Hydrodynamics of high-speed marine vehicles, Cambridge University Press, Cambridge (2005)
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J. N. Newman, Marine Hydrodynamics, M.I.T. Press, Cambridge (1989)
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J. V. Wehausen, E. V. Laitone, Surface Waves, Springer, Berlin (2002)
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Z. L. Gao, Z. J. Zou, A three-dimensional desingularized high-order panel method based on NURBS, Journal of Hydrodynamics, 20 (2008), 137-146
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S. T. Grilli, P. Guyenne, F. Dias, A fully non-linear model for three-dimensional overturning waves over an arbitrary bottom, International Journal for Numerical Methods in Fluids, 35 (2001), 829-867
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]
Numerical Modelling of End-Plate Moment Connection Subjected to Bending and Axial Forces
Numerical Modelling of End-Plate Moment Connection Subjected to Bending and Axial Forces
en
en
Steel beam-to-column joints are often subjected to a combination of bending and axial forces. The level of axial forces in the joint may be significant, typical of pitched-roof portal frames, sway frames or frames with incomplete floors. An approach, based on finite element modelling, is presented in order to numerically investigate the seismic performance of bolted steel end-plate moment connection by including the effect of axial forces in the connection. Current specifications for steel joints do not take into account the presence of axial forces (tension and/or compression) in the joints. A single empirical limitation of 10% of the beam’s plastic axial capacity is the only enforced provision in Annex J of Eurocode 3.The methods for applying loads to the connection were considered to be only monotonic loadings. For the nonlinear finite element analysis the modelling process was carried out using ABAQUS computer program. The results of the finite element analysis of the connection showed that by applying the tensile axial load of the beam into the connection the ultimate bending capacity of the connection will decrease. Finally, it reveals that the presence of an axial force on the beam significantly modifies the joint response.
463
472
Mahmoud
Baei
Mehdi
Ghassemieh
Alireza
Goudarzi
End-Plate Moment Connection
Nonlinear Finite Element
Bending Moment and Axial Force
Article.21.pdf
[
[1]
European Committee for Standardisation, Design of steel structures-joints in building frames, CEN, Brussels (1998)
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A. R. Kukrete, M. Ghassemieh, T. M. Murray, Behaviour and design of large-capacity moment end plates, Journal of Structural Engineering, 116 (1990), 809-828
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A. Abolmaali, J. H. Matthys, M. Farooqi, Y. Choi, Development of moment–rotation model equations for flush end-plate connections, Journal of Constructional Steel Research, 61 (2005), 1595-1612
##[6]
B. M. Broderick, A. W. Thomson, The response of flush end-plate joints under earthquake loading, Journal of Constructional steel research, 58 (2002), 1161-1175
##[7]
L. Da Silva, L. Lima, P. Vellasco, S. Andrade, S. A. L. de Andrade, Behaviour of flush end-plate beam-to-column joints under bending and axial force, Steel and Composite Structures, 4 (2004), 77-94
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Y. J. Shi, S. L. Chan, Y. L. Wong, Modelling for moment-rotation characteristics for end-plate connections, Journal of Structural Engineering, 122 (1996), 1300-1306
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L. de Lima, L. Simões da Silva, P. Vellasco, S. Andrade, Experimental evaluation of extended endplate beam-to-column joints subjected to bending and axial force, Engineering Structures, 26 (2004), 1333-1347
##[10]
P. Fanning, M.Tucker, B. M. Broderick, Non-linear finite element analysis of semi-rigid bolted end-plate connections, Proceedings of the Fifth International Conference on Computational Structures Technology, 2000 (2000), 397-403
]
Optimal Control Brain Tumor System with Drog and Its Stability
Optimal Control Brain Tumor System with Drog and Its Stability
en
en
It is quite known that there are various methods for treatment of cancer. Although virus therapy has been proved to effective in the improvement of cancer, this method is still at its primary stage. Therefore, treatment methods such as chemotherapy and radiotherapy are still versatile. In these methods, drugs are prescribed. The most important question in the treatment of brain tumors is the rate of drug prescription for the patient so that it can help the patient recover and minimize damages to the healthy cells. A.El-Ghohary demonstrated that a mathematical model of brain tumor system can be seen in an optimal nonlinear control problem. In this paper, attempt is made to transform the nonlinear optimal control problem into an optimal control problem in the measure theory and to approximate a new problem with a linear programming problem and subsequently, to specify the drug dose for the patients with cancer. In addition, we deal with the examination of stability of system balance points. Using drug dose control stabilizes the unstable balance points of the tumor system. In the end, a comparison is made between the results obtained from the above mentioned method and the approximate solution proposed by Al-Gohary.
473
486
S. A.
Alavi
J.
Norabadi
M.
Arjmand
Nonlinear optimal control
Measure theory
Tumor
linear programming.
Article.22.pdf
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Three Solutions for a Class of Quasilinear Dirichlet Elliptic Systems Involving (p, Q)-laplacian Operator
Three Solutions for a Class of Quasilinear Dirichlet Elliptic Systems Involving (p, Q)-laplacian Operator
en
en
We investigate the existence of three distinct solutions for a class of quasilinearDirichlet ellipticsystems involving
the (p,q)-Laplacian operator. Our main tool is a recentthree critical points Theorem of B. Ricceri [On a three critical
points theorem, Arch. Math (Basel) 75 (2000) 220-226.
487
493
G. A.
Afrouzi
S.
Shamlo
M.
Mahdavi
Three solutions
Critical points
Dirichlet Systems
Multiplicity result .
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Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation
Homotopy Analysis Method a Fresh View on Benjamin-Bona-Mahony-Burgers Equation
en
en
In this paper, an analytic method, namely the homotopy analysis method (HAM) is applied to
obtain approximations to the analytic solution of special form of the generalized nonlinear Benjamin-
Bona-Mahony-Burgers equation (BBMB). This approximate solution, which is obtained as a series
of exponentials, has a reasonable residual error. The results reveal that the presented method is very
effective and convenient.
494
501
M.
Fardi
K.
Sayevand
Homotopy analysis method
Auxiliary parameter
Benjamin-Bona-Mahony-Burgers equations (BBMB)
Nonlinear equation
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]
Uni-norm Fuzzy Pattern Trees for Evolving Classification by Imperialist Competitive Algorithm
Uni-norm Fuzzy Pattern Trees for Evolving Classification by Imperialist Competitive Algorithm
en
en
Fuzzy pattern trees induction was recently introduced as a novel machine learning method for classification. Roughly speaking, a pattern tree is a hierarchical, tree-like structure, whose inner nodes are marked with generalized fuzzy logical or arithmetic operators and whose leaf nodes are associated with fuzzy predicates on input attributes. Operators perform an important role in fuzzy pattern trees. These operators include arithmetic and logical operators. Unlike arithmetic operators,logical operators that were used in these trees are not parameterized. As arithmetic operators, we can choose weighted arithmetic mean and ordered weighted arithmetic mean. There are several families which contain the standard triangular norms and conorms as special cases. This way, we would implicitly select from an infinite number of operators, just like in the case of arithmetic operators. We develop this algorithm by proposing a method to using parameterized logical operators and tuning their parameters by imperialist competitive algorithm. In experimental studies, we compare our method to previous version of algorithm, showing that our method is significantly outperformsthe previous method in terms of predictive accuracy andflexibilityin operator selection.
502
513
S.
Rajaeipour
G.
Shojatalab
machine learning
classification
fuzzy operators
parameter tuning
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