APPLICATION OF ADOMIAN DECOMPOSITION, VARIATIONAL ITERATION, AND SERIES SOLUTION METHODS TO ANALYSIS OF INTEGRAL DIFFERENTIAL EQUATIONS

Abstract

In this paper, the analytical solution of integral equations is presented by using various advance analytical techniques. The comparison between the prososed methods: variational iteration method (VIM), and series solution method (SSM) with the Adomian decomposition equations is given to show the effeficency of these methods. From the Mathematical point of view, the variational iteration method (VIM) is effective, appropriate and easily using to solve the problems. Particularly, the langrange multiplier in variational iteration method plays very importnant role to reduce the computational work of integration. At the end, numerical and graphical results are obtained by using Maple programing.