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Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations
Department of Mathematics, University of Vlora, Vlora, Albania
Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania
Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania
- 1 Department of Mathematics, University of Vlora, Vlora, Albania
- 2 Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania
- 3 Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania
Advances in Pure Mathematics·Volume 03 (2013)·Pages 317–323·Published 8 May 2013·DOI10.4236/apm.2013.33045
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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].
KeywordsHomotopy Perturbation MethodsA New Integral TransformNonlinear Partial Differential EquationsHe’s Polynomials
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