Volume 5, Issue 4, pp 258 - 264
Publication Date: 2012-12-30
- Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
B. Zarali - Department of Mathematics, Science and Research Branch, Islamic Azad University, Mazandaran, Iran.
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.
Modified decomposition method, System of Fredholm integro-differential equations.
. G. Adomian, Solving Frontier problem of Physics: The Decomposition Method , Kluwer Academic press, (1994).
. A. Arikoglu and I. Ozkol, Solutions of Integral and Integro-Differential Equation Systems by Using Differential Transform Method, Computers Mathematics with Applications, Vol. 56, No. 9, 2411-2417, (2008).
. T. Badredine, K. Abbaoui, Y. Cherruault, Convergence of Adomian’s method applied to integral equations , Kybernetes, 28(5), (1999), 557-564.
. J. Biazar, Solution of systems of integro-differential equation by Adomian decomposition method , Appl. Math. Comput. 168(2003), 1232-1238.
. J. Biazar, H. Ghazvini, M. Eslami, Hes Homotopy perturbation method for systems of integro-differential Equations, Chaos, Solitions and Fractals, Vol. 39, No. 3, (2009). 1253-1258.
. Y. Cherruault, convergence of Adomian method ,kybernetes, Volume18(1989), 31-38.
. S. Hyder Ali Muttaqi Shah, S.H. Sandilo, Modified Decompositin method for nonlinear Volterra-Fredholm integro-differential equation, Journal of Basic and Applied Sciences, Vol. 6, No. 1, 13-16, (2010).
. K. Maleknejad, F. Mirzaee, S. Abbasbandy, Solving linear Integro-differential equations system by using rationalized Haar functions method, Applied Mathematics & Computation, (2003).
. K. Maleknejad and M. Tavassoli Kajani, Solving Linear integro-differential equation system by Galerkin methods with Hybrid functions, Applied Mathematics and Computation, Vol. 159, No. 3, (2004), 603-612.
. 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, Vol. 168, No. 3,(2005), 465-478.
. AM. Wazwaz, A reliable modification of Adomian’s decomposition method , Appl Math Comput, (1999).
. AM. Wazwaz, A reliable treatment for mixed Volterra-Fredholm integral equations , Appl Math Comput, (2002).
. AM. Wazwaz, A first course In integral equations , World Scientific, Singapore, (1997).