Approximation Solution for Nonlinear Volterra Integral Equation by Using Adomian Decomposition Method

Abstract

In this paper, Adomian decomposition method has been extensively used to find the approximate solution for nonlinear Volterra integral equation's of the second kind. In this method assume the solution of a functional equation is considered as the sum of an infinite series usually converging to the solution, It has been shown that the series has a fast converges, and with only few terms, this series approximates the exact solution with a fairly reasonable error. Finally, numerical example are prepared to illustrate the efficiency and accuracy of this method