Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 58, Issue 11-12, Pages 2134-2141Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.03.059
Keywords
Homotopy perturbation method; Pade approximation; Laplace transform; Coupled nonlinear Burger equations and 1-D thermo-elasticity
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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. (C) 2009 Elsevier Ltd. All rights reserved.
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