Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method

Authors:
N. H. Sweilam;M. M. Khader
Affiliations:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt;Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 3
Cited 1

A comparison between Adomian decomposition method and Taylor series method in the series solutions

Applied Mathematics and Computation
On the order of convergence of Adomian method

Applied Mathematics and Computation
A simple perturbation approach to Blasius equation

Applied Mathematics and Computation

Homotopy perturbation transform method for nonlinear equations using He's polynomials

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and Pade approximation to obtain closed form solutions of nonlinear coupled systems of partial differential equations. Two test examples are given; the coupled nonlinear system of Burger equations and the coupled nonlinear system in one dimensional thermoelasticity. The results obtained ensure that this modification is capable of solving a large number of nonlinear differential equations that have wide application in physics and engineering.