Solution of System of Higher Order Integro-Differential Equations by Perturbed Variational Iteration Method

Abstract

Variational Iteration Method (VIM) is a numerical method for solving a wide class of non-linear problems, first envisioned by the Chinese Mathematician He (1998). In this paper, higher order integro differential equations are reduced to a system of integral equations. The reduced system is then perturbed by using Chebyshev Polynomial and solved by Variational Iteration method. The results obtained for some illustrative examples showed that the perturbed variational iteration method is efficient and reliable. Examples are given to illustrate the efficiency and implementation of the method.