Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations

Artion Kashuri, Akli Fundo, Matilda Kreku

Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania.
Department of Mathematics, University of Vlora, Vlora, Albania.

DOI: 10.4236/apm.2013.33045                

Abstract

In this paper, we present a new method, a mixture of homotopy perturbation method and a new integral transform to solve some nonlinear partial differential equations. The proposed method introduces also He’s polynomials [1]. The analytical results of examples are calculated in terms of convergent series with easily computed components [2].

Keywords

Homotopy Perturbation Methods; A New Integral Transform; Nonlinear Partial Differential Equations; He’s Polynomials

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[2]	D. Kumar, J. Singh and S. Rathore, “Sumudu Decomposition Method for Nonlinear Equations,” International Mathematical Forum, Vol. 7, No. 11, 2012, pp. 515-521.
[3]	A. Kashuri and A. Fundo, “A New Integral Transform,” Advances in Theoretical and Applied Mathematics, Vol. 8, No. 1, 2013, pp. 27-43.
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