HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR WAVE EQUATIONS

Ranen Z Ahmood

HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR WAVE EQUATIONS

Authors

Ranen Z Ahmood Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

homotopy perturbation method, nonlinear wave equations, Adomian decomposition method

Abstract

In this paper, we present the approximated solutions of special types of the nonlinear partialdifferential equations in one dimension namely the nonlinear wave equations by using thehomotopy perturbation method. Some examples are solved to show the efficiency of this methodand a comparison is made with the Adomian decomposition method.

Keywords:
homotopy perturbation method,nonlinear wave equations,Adomian decomposition method,exact solutions