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

✍ Scribed by N.H. Sweilam; M.M. Khader

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 696 KB
Volume: 58
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.059

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✦ Synopsis

The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and Padé 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.

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