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2012
5
4
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An Analytical Approximation for Boundary Layer Flow Convection Heat and Mass Transfer Over a Flat Plate
An Analytical Approximation for Boundary Layer Flow Convection Heat and Mass Transfer Over a Flat Plate
en
en
In this article, Laplace transform and new homotopy perturbation methods are adopted to study
the problem of forced convection over a horizontal flat plate analytically. The problem is a system
of nonlinear ordinary differential equations which arises in boundary layer flow. The solutions
approximated by the proposed method are shown to be precise as compared to the corresponding
results obtained by numerical method. A high accuracy of new method is evident.
241
257
Hossein
Aminikhah
Ali
Jamalian
Laplace transform
New homotopy perturbation method
Blasius equation.
Article.1.pdf
[
[1]
H. Blasius , The Boundary Layers in Fluid with Little Friction (in German) Zeitschrift fur Mathematik und Physik, English translation available as NACATM 1256, 56 (1) (1950), 908-1
##[2]
J. H. He, Homotopy perturbation technique, Comput Meth Appl Mech Eng, 178 (1999), 257-262
##[3]
J. H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Int J Non-linear Mech, 35 (2000), 37-43
##[4]
J. H. He, New interpretation of homotopy perturbation method, Int J Mod Phys B, 20 (2006), 2561-8
##[5]
J. H. He, Recent development of homotopy perturbation method , Topol. Meth Nonlinear Anal, 31 (2008), 205-9
##[6]
J. H. He, The homotopy perturbation method for nonlinear oscillators with discontinuities, Appl Math Comput, 151 (2004), 287-92
##[7]
J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos Soliton Fract, 26 (2005), 695-700
##[8]
J. H. He, Limit cycle and bifurcation of nonlinear problems, Chaos Soliton Fract, 26 (2005), 827-33
##[9]
A. Rajabi, D. D. Ganji , Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Phys Lett A, 360 (2007), 570-3
##[10]
D. D. Ganji, A. Sadighi, Application of homotopy perturbation and variational iteration methods to nonlinear heat transfer and porous media equations, J Comput Appl Math, 207 (2007), 24-34
##[11]
D. D. Ganji , The application of Hes homotopy perturbation method to nonlinear equations arising in heat transfer, Phys Lett A, 355 (2006), 337-41
##[12]
G. A. Afrouzi, D. D. Ganji, H. Hosseinzadeh, R. A. Talarposhti, Fourth order Volterra integro differential equations using modifed homotopy-perturbation method, The Journal of Mathematics and Computer Science, 3 (2011), 179-191
##[13]
Mohamed I. A. Othman, A. M. S. Mahdy, R. M. Farouk , Numerical Solution of 12th Order Boundary Value Problems by Using Homotopy Perturbation Method, The Journal of Mathematics and Computer Science, 1 (2010), 14-27
##[14]
J. Singh, D. Kumar, Sushila, S. Gupta, APPLICATION OF HOMOTOPY PERTURBATION TRANSFORM METHOD TO LINEAR AND NON-LINEAR SPACE-TIME FRACTIONAL REACTIONDIFFUSION EQUATIONS, The Journal of Mathematics and Computer Science, 5 (2012), 40-52
##[15]
S. Abbasbandy, A numerical solution of Blasius equation by Adomians decomposition method and comparison with homotopy perturbation method, Chaos Soliton Fract, 31 (2007), 257-60
##[16]
J. Biazar, H. Ghazvini , Exact solutions for nonlinear Schrodinger equations by He's homo-topy perturbation method, Phys Lett A, 366 (2007), 79-84
##[17]
S. Abbasbandy , Numerical solutions of the integral equations: homotopy perturbation and Adomians decomposition method, Appl Math Comput, 173 (2006), 493-500
##[18]
JH. He, Homotopy perturbation method for solving boundary value problems, Phys Lett A, 350 (2006), 87-8
##[19]
Q. Wang, Homotopy perturbation method for fractional KdV-Burgers equation, Chaos Soliton Fract, 35 (2008), 843-850
##[20]
E. Yusufoglu, Homotopy perturbation method for solving a nonlinear system of second order boundary value problems, Int J Nonlinear Sci Numer Simul, 8 (2007), 353-8
##[21]
Y. Khan, N. Faraz, A. Yildirim, Q. Wu, A Series Solution of the Long Porous Slider, Tribology Transactions, 54, 2 (2011), 187-191
##[22]
M. Esmaeilpour, D. D. Ganji, Application of He’s homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate, Physics Letters A , 372 (2007), 33-38
##[23]
L. Howarth, On the Solution of the Laminar Boundary-Layer Equations, Proceedings of the Royal Society of London, A , 164 (1983), 547-579
##[24]
H. Aminikhah, Analytical Approximation to the Solution of Nonlinear Blasius’ Viscous Flow Equation by LTNHPM, ISRN Mathematical Analysis, Article ID 957473, doi:10.5402/2012/957473. , 2012 (2012), 1-10
##[25]
H. Aminikhah, M. Hemmatnezhad, An efficient method for quadratic Riccati differential equation, Commun. Nonlinear Sci. Numer. Simul. , 15 (2010), 835-839
##[26]
H. Aminikhah, A. Jamalian, A new efficient method for solving the nonlinear Fokker–Planck equation, Scientia Iranica, In Press, Available online 3 July 2012. (2012)
##[27]
H. Aminikhah, F. Mehrdoust, A. Jamalian, A New Efficient Method for Nonlinear Fisher-Type Equations, Journal of Applied Mathematics , Article ID 586454, doi:10.1155/2012/586454. , 2012 (2012), 1-18
##[28]
R. Byron Bird, Warren E. Stewart, Edwin N. Lightfoot , Transport Phenomena, John Wiley& Sons (ASIA) Pte Ltd, 627. ()
]
Solution of Fredholm Integro-differential Equations System by Modified Decomposition Method
Solution of Fredholm Integro-differential Equations System by Modified Decomposition Method
en
en
In this paper, the technique of modified decomposition method is used to solve a system of linear integro-differential equations with initial conditions. Moreover, two particular examples are discussed to show relability and the performance of the modified decomposition method.
258
264
M.
Rabbani
B.
Zarali
Modified decomposition method
System of Fredholm integro-differential equations.
Article.2.pdf
[
[1]
G. Adomian , Solving Frontier problem of Physics: The Decomposition Method , Kluwer Academic press, (1994)
##[2]
A. Arikoglu, I. Ozkol , Solutions of Integral and Integro-Differential Equation Systems by Using Differential Transform Method, Computers Mathematics with Applications, 56 (2008), 2411-2417
##[3]
T. Badredine, K. Abbaoui, Y. Cherruault , Convergence of Adomian’s method applied to integral equations, Kybernetes, 28(5) (1999), 557-564
##[4]
J. Biazar, Solution of systems of integro-differential equation by Adomian decomposition method, Appl. Math. Comput, 168 (2003), 1232-1238
##[5]
J. Biazar, H. Ghazvini, M. Eslami, Hes Homotopy perturbation method for systems of integro-differential Equations, Chaos, Solitions and Fractals, 39 (2009), 1253-1258
##[6]
Y. Cherruault, convergence of Adomian method , kybernetes, 18 (1989), 31-38
##[7]
S. Hyder Ali Muttaqi Shah, S. H. Sandilo, Modified Decompositin method for nonlinear Volterra-Fredholm integro-differential equation , Journal of Basic and Applied Sciences, 6 (2010), 13-16
##[8]
K. Maleknejad, F. Mirzaee, S. Abbasbandy, Solving linear Integro-differential equations system by using rationalized Haar functions method, Applied Mathematics & Computation, (2003), -
##[9]
K. Maleknejad, M. Tavassoli Kajani, Solving Linear integro-differential equation system by Galerkin methods with Hybrid functions, Applied Mathematics and Computation, 159 (2004), 603-612
##[10]
J. Pour-Mahmoud, M. Y. Rahimi-Ardabili, S. Shahmorad , Numerical solution of the system of Fredholm integro-differential equations by the Tau method, Applied Mathematics and Computation, 168 (2005), 465-478
##[11]
AM. Wazwaz, A reliable modification of Adomian’s decomposition method , Appl Math Comput, (1999)
##[12]
AM. Wazwaz, A reliable treatment for mixed Volterra-Fredholm integral equations , Appl Math Comput, (2002)
##[13]
AM. Wazwaz, A first course In integral equations , World Scientific, Singapore (1997)
]
Neighborhood Number in Graphs
Neighborhood Number in Graphs
en
en
A set \(S\) of points in graph \(G\) is a neighborhood set if \(G=\cup_{\nu\in S}\langle N[\nu]\rangle\) where \(\langle N[\nu]\rangle\) is the subgraph of \(G\) induced by \(\nu\) and all points adjacent to \(\nu\). The neighborhood number, denoted \(n_0(G)\), of \(G\) is the minimum cardinality of a neighborhood set of \(G\). In this paper, we study the neighborhood number of certain graphs.
265
270
Z.
Tahmasbzadehbaee
N. S.
Soner
D. A.
Mojdeh
Neighborhood set
Neighborhood number
Jahangir graph
Harary graphs
Circulant graph.
Article.3.pdf
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[1]
J. C. Bermond, F. Comellas, D. F. Hsu, Distributed loop computer networks: a survey, J. Paralled Distrib. Comput. , 24 (1995), 2-10
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F. Boesch, R. Tindell , Circulants and their connectivity, J. Graph Theory, 8 (1984), 487-499
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S. Ghobadi, N. D. Soner, D. A. Mojdeh, Vertex neighborhood critical graphs, International Journal of Mathematics and Analysis, 9(1-6) (2008), 89-95
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E. Sampathkumar, P. S. Neeralagi, Independent, Perfect and Connected neighborhood number of a graph, Journal of Combinatorics, Information & System Sciences, 19(3-4) (1994), 139-145
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E. Sampathkumar, P. S. Neeralagi, The neighborhood number of a graph, Indian J. Pure Appl. Math., 16(2) (1985), 126-132
##[6]
D. B. West , Introduction to graph theory (Second Edition), Prentice Hall, USA (2001)
]
Mathematical Modeling of Thermosyphon Heat Exchanger for Energy Saving
Mathematical Modeling of Thermosyphon Heat Exchanger for Energy Saving
en
en
Waste heat recovery is very important, because not only it reduces the expenditure of heat generation, but also it is of high priority in environmental consideration, such as reduction in greenhouse gases. One of the devices is used in waste heat recovery is thermosyphon heat exchanger (THE). In this paper, theoretical research has been carried out to investigate the thermal performance of an air to air thermosyphon heat exchanger. This purpose is done by solving simultaneous principles equations. It was found that with implementation of targeted subsides plan in Islamic Republic of Iran, saving in gas oil consumption is very considerable by using this device.
271
279
Mohammad Reza Sarmasti
Emami
Mathematical Modeling
Thermosyphon Heat Exchanger
Energy Saving
Article.4.pdf
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[1]
S. W. Chi, Heat Pipe Theory and Practice, McGraw Hill, New York (1976)
##[2]
M. R. Sarmasti Emami, Energy Recovery in Poultry Plants by Heat Pipe Heat Exchangers, the 6th International Chemical Engineering Congress and Exhibition, 16-20 November, Iran (2009)
##[3]
M. R. Sarmasti Emami, S. H. Noie, R. Shokri, Simulation and economical investigation of application of heat pipe heat exchanger in air condition systems, 10th National conference of Chemical Engineering, Zahedan, Iran (2005)
##[4]
, , www.worldwatch.org. , ()
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A. Faghri , Heat pipe science and Technology, Taylor & Francis , Washington, D.C. (1995)
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Z. R. Gorbis, G. A. Savchenkov, Low Temperature Tow-phase Closed Thermosyphon Investigation, proc. 2nd International Heat pipe Conf. Bologna, Italy, (1967), 37-45
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]
Solving Nonlinear System of Mixed Volterra-fredholm Integral Equations by Using Variational Iteration Method
Solving Nonlinear System of Mixed Volterra-fredholm Integral Equations by Using Variational Iteration Method
en
en
In this paper for solving nonlinear system of mixed Volterra-Fredholm integral equations by using variational iteration method, we have used differentiation for converting problem to suitable form such that it can be useful for constructing a correction functional with general lagrange multiplier. The optimum of lagrange multiplier can be found by variational theorem and by choosing of restrict variations properly. By substituting of optimum lagrange multiplier in correction functional, we obtain convergent sequences of functions and by appropriate choosing initial approximation, we can get approximate of the exact solution of the problem with few iterations. Some applications of nonlinear mixed Volterra-Fredholm integral equations arise in mathematical modeling of the Spatio-temporal development of an epidemic. So nonlinear system of mixed Volterra-Fredholm integral equations is important and useful. The above method independent of small parameter in comparison with similar works such as perturbation method. Also this method does not require discretization or linearization. Accuracy of numerical results show that the method is very effective and it is better than Adomian decomposition method since it has faster convergence and it is more simple. Also this method has a closed form and avoids the round of errors for finding approximation of the exact solution. The looking forward the proposed method can be used for solving various kinds of nonlinear problems.
280
287
M.
Rabbani
R.
Jamali
Nonlinear system of mixed
Integral equation
Variational method
Volterra-Fredholm
lagrange multiplier
Article.5.pdf
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[1]
A. Yildirim, Homotopy perturbation method for the mixed Voltera-Fredholm integral equations, chaos,solitons and fractals, 42 (2009), 2760-2764
##[2]
M. A. Abdou, A. A. Soliman, Variational iteration method for solving Burger's and coupled Burger's equations, J.comput.Appl.Math, 181 (2005), 245-251
##[3]
S. Abbasbandy, E. Shivanian, Application of integro-differential equations, Math.comput.Appl., 14 (2009), 147-158
##[4]
G. Adomian, A rieview of the decomposition method and some recent results for nonlinear equations, Math.comput.Modeling, 13(7) (1990), 17-34
##[5]
J. Biazar, H. Ghazvini, He's variational iteration method for solving linear and nonlinear systems of ordinary differential equations , Applied mathematics and computation, 191 (2007), 287-297
##[6]
N. Bildik, M. Inc, Modified decomposition method for nonlinear Voltera-Fredholm integral equations, Chaos,Solitons and Fractals, 33 (2007), 308-311
##[7]
H. Brunner, On the numerical solution of nonlinear Voltera-Fredholm integral equation by collocation methods, SIAM J.Number.Anal, 27(4) (1990), 987-100
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M. Dehghan, M. Tatari, The use of He's variational iteration method for solving the Fokker-Planck equation, Phys.scripta, 74 (2006), 310-316
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O. Diekman, Thresholds and traveling waves for geographical spread of infection, J.Math.Biol, 6 (1978), 109-130
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M. Dehghan, F. Shakeri, Approximate solution of a differential equation arising in astrophysics using the variational iteration method , New Astronomy, 13 (2008), 53-59
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L. Hacia, An approximate solution for integral equations of mixed type, Zamm.z.Angew.Math.Mech, 76 (1996), 415-416
##[13]
J. H. He, A new approach to nonlinear partial differential equations, Communications in Nonlinear science and Numerical simulation, 2 (1997), 230-235
##[14]
J. H. He, Nonlinear oscillation with fractional derivative and it's approximation, Int,conf. on vibration Engineering 98, Dalian, China (1998)
##[15]
J. H. He, Variational iteration method for nonlinear and it's applications, Mechanics and practice (in chinese), 20, (1) (1998), 30-32
##[16]
J. H. He, Variational Iteration method - a kind of nonlinear analytical technique:Some examples, Int.Journal of Nonlinear Mechanics, 34 (1999), 699-708
##[17]
M. Inokuti , General use of the Lagrange multiplier in in nonlinear mathematical physics, in: S. Nemat-nasser(Ed.), Variational Method in Mechanics of solids, Progamon press, oxford, (1978), 156-162
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Xu. Lan, Variational iteration method for solving integral equations, computers and Mathematics with Applications, 54 (2007), 1071-1078
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K. Maleknejad, M. R. Fadaei Yami, A computational method for system of volterra-Fredholm integral equations, Applied Math and comput, 13 (2006), 589-595
##[20]
S. Monani, S. Abuasad, Application of He's variational iteration method to helmhots equation, Chaos, Solutin and Fractals, 27 (2006), 1119-1123
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B. G. Pachmatta, On Mixed Volterra-Fredholm type integral equation, Indian J. Pure Appl.Math, 17 (1986), 488-496
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M. Tatari, M. Dehghan, On the Convergence of He's Variational Iteration Method, J.comput.Appl.Math, 207 (2007), 121-128
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A. M. Wazwaz, A. Reliable , Treatment for Mixed Volterra-Fredholm in Integral Equations, Appl.Math.comput., 127 (2002), 405-414
##[24]
A. M. Wazwaz, A Reliable Modification of Adomian's Decomposition Method, Appl.Math.comput, 102 (1999), 77-86
]
Comparison Differential Transform Method with Homotopy Perturbation Method for Nonlinear Integral Equations
Comparison Differential Transform Method with Homotopy Perturbation Method for Nonlinear Integral Equations
en
en
In this study, an application of differential transform method (DTM) is applied to solve the second kind of nonlinear integral equations such that Volterra and Fredholm integral equations. If the equation considered has a solution in terms of the series expansion of known function, this powerful method catches the exact solution. Comparison is made between the homotopy perturbation and differential transform method. The results reveal that the differential transform method is very effective and simple.
288
296
Malihe
Bagheri
Mahnaz
Bagheri
Ebrahim
Miralikatouli
differential transform method
Integral equation
Volterra and Fredholm integral quations
Article.6.pdf
[
[1]
J. Biazar, E. Babolian, R. Islam, Solution of a system of Volterra integral equations of the first kind by Adomian method, Appl. Math. Comput, 139 (2003), 249-258
##[2]
K. Maleknejad, M. Tavassoli Kajani, solving linear integro-differential equation system by Galerkin methods with hybrid functions, Appl. Math. Comput. , 159 (2004), 603-612
##[3]
K. Maleknejad, F. Mirzaee, S. Abbasbandy, solving linear integro-differential equations system by using rationalized Haar functions method, Appl. Math. Comput. , 155 (2004), 317-328
##[4]
J. Biazar, H. Ghazvini, M. Eslami , He’s homotopy perturbation method for system of integral equations , Chaos solitons. Fractal, (2007), 1-06
##[5]
S. Q. Wang, J. H. He, Variational iteration method for solving integro-differential equations, Phys. Lett.A., 367 (2007), 188-191
##[6]
J. H. He, Homotopy technique and a perturbation technique for non-linear problems, Int J. Non linear Mech., 35 (2000), 37-43
##[7]
N. Bildik, A. Konuralp, Two-dimensional differential transform method, Adomian’s decomposition method, and variational iteration method for partial differential equations, Int.J. Comput. Math., 83 (2006), 973-987
##[8]
J. H. He, New interpretation of homotopy perturbation method, Internat. J. Modern Phys. B., 20 (2006), 2561-2568
##[9]
J. H. He, Some asymptotic methods for strongly nonlinear equations, Internat. J. Modern Phys. B., 20 (2006), 1141-1199
##[10]
J. K. Zhou, Differential Transform and its Application for Electrical Circuits, Huazhong University Press, Wuhan, China (1968)
##[11]
O. Ozdemir, M.O. Kaya, Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler bean by differential transform method , J. Sound Vid., 289 (2006), 413-420
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A. Arikoglu, I. Ozkol , Solution of difference equations by using differential transform method, Appl. Math. Comput. , 174 (2006), 1216-1228
##[13]
A. Arikoglu, I. Ozkol, Solution of differential-difference equations by using differential transform method, Appl. Math. Comput., 181 (2006), 153-162
##[14]
A. Arikoglu, I. Ozkol , Solution of fractial differential equations by using differential transform method, Chaos Solitone. Fract. , 34 (2007), 1473-1481
##[15]
D. D. Ganji, G. A. Afrouzi, H. Hosseinzadeh, R. A. Talarposhti , Application of homotopy-perturbation method to the second kind of nonlinear integral equations, Phys. Lett.A. , 371 (2007), 20-25
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Z. Odibat, Differential Transform method for solving Volterra integral equations with separable kernels, Mathematics computational modeling, 48 (2008), 1144-1149
]
Designing a Novel Fuzzy Indicator for Predicting Rate of Euro-dollar in International Foreign Exchange
Designing a Novel Fuzzy Indicator for Predicting Rate of Euro-dollar in International Foreign Exchange
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en
Capital market contains different sectors and one of its important sectors is currency market. High turnover in this market has attracted many investors. In this article an efficient system of recognizing point of buy and sell is invented with the help of fuzzy logic. In suggested model functions of triangular and trapezoidal membership is used for defining linguistic variables which can be used for symbol of Euro - Dollar. Inventing system based on fuzzy logic is the first one of its type and its direct application in Forex indicates its efficiency in the real world which can be used in developed trading expert systems for exchange market.
297
303
Ahmad J.
Afshari
Danial
Khoonmirzaie
Somaye
Rasouli
Ensiye
Farrokhi
Forex
Auto trading
MQL language
Fuzzy indicator.
Article.7.pdf
[
[1]
A. Mohammadi, Meeting international markets of exchange, Azadi Publication, (2010)
##[2]
M. Kia , Fuzzy logic in Matlab, Kianrayane sabz Publication, Tehran (2010)
##[3]
Y. Shuo, M. Pasquier, C. Quek, A Foreign Exchange Portfolio Management Mechanism Based On Fuzzy Neural Networks, IEEE Congress on Evolutionary Computation, Singapore (2007)
##[4]
A. Bicz , Evolutionary Algorithm in Forex Trade StrategyGeneration, InternationalMulti conference On Computer Science and Information Technology, (2008)
##[5]
R. Colby, The Technical Market Indicator, Wall Street courier, (2005)
##[6]
R. Edwards, Currency trading for a Living in forex’s Market, Trading Intl, (2004)
##[7]
D. Richard, Technical analyses Application in the Global Currency market, Institute of Finance-New York, New York (2002)
##[8]
M. Owski , Attacking Currency Trends: How to Anticipate and Trade Big Moves in the currency market, Wiley Trading, (2011)
]
Nonconvex Optimization with Dual Bounds and Application in Communication Systems
Nonconvex Optimization with Dual Bounds and Application in Communication Systems
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en
Convex optimization has provided both a powerful tool and an intriguing mentality to the analysis and design of communication systems over the last few years. This paper presents the results of investigation on dual bounds for nonconvex quadratic programming with a nonlinear constraint and an overview of the nonconvex optimization problem in the networked communication systems.
304
312
Akram
Ahadizadeh
Sadaf
Anbarzadeh
Dual bound
Quadratic programming
Duality bound method
Nonconvex optimization
Network utility maximization.
Article.8.pdf
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[1]
J. P. Aubin, Applied Functional Analysis, University of Paris – Dauphine, (1999)
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D. G. Luenberger, Linear and Nonlinear Programming, Second Edition, Standford University (1984)
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H. Tuy , Convex Analysis and Global Optimization, , kluwer (1998)
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]
Extension of Pontryagin Maximum Principle and Its Economical Applications
Extension of Pontryagin Maximum Principle and Its Economical Applications
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en
First, an extension of Pontryagin Maximum Principle in Infinite-Horizon, which was presented by Aseev and Kryazhimiskii, is explained. Since this method is applicable in optimal economical growth problems, for the first time several problems such as consumption and investment are solved. Moreover, for implementing Aseev and Kryazhimiskii 's method on Iranian economy, Luis Serven model is introduced. Then it is calibrated on Iranian economy during the years 1385-1415. By applying the described method, the optimal consumption and investment for maximizing the social welfare are demonstrated. Also the sensitivity analysis is discussed.
313
319
Alireza
Fakharzadeh
Somayeh
Sharif
Karim
Eslamloueyan
Economical Growth Models
Optimal Control
The Pontryagin Maximum Principle
Infinite Horizon
Article.9.pdf
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[1]
A. Amini, M. Neshat, Estimated time series of the investment in Iran's economy during the period 1338-1381, J. Planning and Budget, 90 (1384)
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S. M. Aseev, Infinite-Horizon Optimal Control with Applications in Growth Theory, Proceeding of the Stoklove Institute of Mathematics, 262 (2008), 10-25
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S. M. Aseev, A. V. Kryazhimiskiy, Shadow prices in infinite-horizon optimal control problems with dominating discounts, Applied Mathematics and Computation, 204 (2008), 519-531
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S. M. Aseev, A. V. Kryazhimiskii, The Pontryagin maximum principle and optimal economic growth problems, Proceeding of the Steklove Institute of Mathematics, 257 (2007), 1-255
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S. M. Aseev, A. V. Kryazhimiskiy, The Pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons, Control Optim, 43 (2004), 1094-1119
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S. M. Aseev, A. V. Kryazhimiskii, The Pontryagin maximum principle for an optimal control problem with a functional specified by an improper integral , Dokl. Math., 69 (2004), 89-91
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C. A. Favero, Consumption, Wealth, the Elasticity of Intertemporal Substitution and Long-Run Stock Market Returns, Bocconi University and CEPR, IGIER (2005)
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Security in Wireless Local Area Network (wlan)
Security in Wireless Local Area Network (wlan)
en
en
Regarding increase of wireless network application, and fast development at these systems, security in such systems and networks has become a crucial matter. In this article, first different security methods of local wireless networks, as subsidiaries of wireless networks, are introduced and then the efficiency of so far introduced security methods such as WEP, WPA and WPAv2 are studied as well as their negative and positive aspects. The focus of this text is on IEEE security protocols including 802.1x and 802.11i, their functions and security levels. The privileges and shortcoming at the mentioned protocols would be discussed afterwards.
320
330
Kareshna
Zamani
Mehrnoosh
Torabi
Hamidreza
Moumeni
Wireless LAN
Security
WEP
WAP
WAPv2
Article.10.pdf
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Analytical Solution of Two-dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability
Analytical Solution of Two-dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability
en
en
In this article the problem of two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability is presented and Homotopy Perturbation Method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the Numerical solution (NM) and the results of the He's Homotopy Perturbation Method (HPM).
331
336
Arash
Yahyazadeh
Hossein
Yahyazadeh
Mohammadtaghi
Khalili
Milad
Malekzadeh
Homotopy perturbation method
analytical solution
two dimension viscous flow.
Article.11.pdf
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]
Numerical Solution of Fredholm and Volterra Integral Equations of the First Kind Using Wavelets Bases
Numerical Solution of Fredholm and Volterra Integral Equations of the First Kind Using Wavelets Bases
en
en
The Fredholm and Volterra types of integral equations are appeared in many engineering fields. In this paper, we suggest a method for solving Fredholm and Volterra integral equations of the first kind based on the wavelet bases. The Haar, continuous Legendre, CAS, Chebyshev wavelets of the first kind (CFK) and of the second kind (CSK) are used on [0,1] and are utilized as a basis in Galerkin or collocation method to approximate the solution of the integral equations. In this case, the integral equation converts to the system of linear equations. Then, in some examples the mentioned wavelets are compared with each other.
337
345
Maryam
Bahmanpour
Mohammad Ali Fariborzi
Araghi
First kind Volterra and Fredholm integral equation
Galerkin method
Collocation method
Haar
Legendre
CAS
CFK
CSK wavelets.
Article.12.pdf
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]