Solution of Fredholm Integro-differential Equations System by Modified Decomposition Method
-
3707
Downloads
-
5142
Views
Authors
M. Rabbani
- Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
B. Zarali
- Department of Mathematics, Science and Research Branch, Islamic Azad University, Mazandaran, Iran.
Abstract
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.
Share and Cite
ISRP Style
M. Rabbani, B. Zarali, Solution of Fredholm Integro-differential Equations System by Modified Decomposition Method, Journal of Mathematics and Computer Science, 5 (2012), no. 4, 258 - 264
AMA Style
Rabbani M., Zarali B., Solution of Fredholm Integro-differential Equations System by Modified Decomposition Method. J Math Comput SCI-JM. (2012); 5(4):258 - 264
Chicago/Turabian Style
Rabbani, M., Zarali, B.. "Solution of Fredholm Integro-differential Equations System by Modified Decomposition Method." Journal of Mathematics and Computer Science, 5, no. 4 (2012): 258 - 264
Keywords
- Modified decomposition method
- System of Fredholm integro-differential equations.
MSC
References
-
[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)