Solution of Differential Equations by New Homotopy Perturbation Method

Abstract

In this project, a new modification of Homotopy perturbation method (HPM), called New Homotopy Perturbation Method (NHPM), has been applied for solving systems of non-linear partial differential equations. In chapter 2 we solved differential equations by HPM and in chapter 3 we solved same differential equations by NHPM. HPM and NHPM methods have been applied to three examples successfully and achieved approximate solutions. The basic idea described in this project is strong enough to be employed to solve other differential equations. The computations associated with the examples were performed using Mathematica 9.