Numerical Solution of Integro-Differential Equation Using Adomian Decomposition and Variational Iteration Methods

Abstract

In this paper, a comparative study of Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM) were considered on various types of integrodifferential equation; which are Fredholm, Volterra and Fredholm-Volterra equations. From the examples considered, it was observed that these methods were compared favorably with the exact solution. VIM has an advantage over ADM due to non-requirement of Adomian polynomial and hence converges faster to the exact solution for some nonlinear problems.