ABSTRACT

Abstr

Abstract

 In this paper, we used the new modification of Adomian Decomposition Method (MADM) to obtain the approximate solutions for the linear and nonlinear integro-differential equations. Illustrative examples have been discussed to demonstrate the validity, reliability of this new modification method. The rate at which the numerical solution converges to the exact solution is very fast. The method was implemented on Maple 18 platform. The method is elegant and therefore recommended for solving strongly nonlinear integro-differential equations that arise in physical sciences and engineering.

 Keywords: Adomian decomposition method; Fredholm Integro-differential equations; Volterra Integro-differential equations.