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Sweilam, N. H.; Khader, M. M.

Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method. (English) Zbl 1189.65259

Comput. Math. Appl. 58, No. 11-12, 2134-2141 (2009).
Summary: 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.

Cited in 27 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Keywords:

homotopy perturbation method; Padé approximation; Laplace transform; coupled nonlinear burger equations and 1-D thermo-elasticity
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\textit{N. H. Sweilam} and \textit{M. M. Khader}, Comput. Math. Appl. 58, No. 11--12, 2134--2141 (2009; Zbl 1189.65259)
Full Text: DOI

References:

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