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JAMP> Vol.3 No.3, March 2015
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On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method

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DOI: 10.4236/jamp.2015.33042    3,940 Downloads   4,764 Views   Citations
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S. Salman Nourazar1, Mohsen Soori1*, Akbar Nazari-Golshan2

Affiliation(s)

1Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.
2Department of Physics, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.

ABSTRACT

The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear differential equations. Three case study problems of Burgers-Huxley are solved using the HPM and the exact solutions are obtained. The rapid convergence towards the exact solutions of HPM is numerically shown. Results show that the HPM is efficient method with acceptable accuracy to solve the Burgers-Huxley equation. Also, the results prove that the method is an efficient and powerful algorithm to construct the exact solution of non-linear differential equations.

KEYWORDS

Burgers-Huxley Equation, Homotopy Perturbation Method, Nonlinear Differential Equations

Cite this paper

Nourazar, S. , Soori, M. and Nazari-Golshan, A. (2015) On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method. Journal of Applied Mathematics and Physics, 3, 285-294. doi: 10.4236/jamp.2015.33042.

Conflicts of Interest

The authors declare no conflicts of interest.

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