Adomian’s decomposition method for solving fractional Ginzburg-landau equation arising in mathematical physics using jumarie’s fractional derivative. | [Science International • 2014]

Author(s):

1. Jamshad Ahmad: Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt Pakistan

2. Syed Tauseef Mohyud-Din: Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt Pakistan

Abstract:

In this paper, an analytical approximation to the solution of Ginzburg-Landau equation of fractional order is discussed. The fractional order derivatives are described in Caputo‘s sense. An Adomian‘s decomposition method using He‘s polynomials (ADM) introduced by Adomian‘s is employed to derive the approximate solution which clearly reflect the reliability of method. It is observed that the proposed algorithm is highly efficient and appropriate for factional PDEs arising in mathematical physics and hence can be extended to other problems of diversified nonlinear nature.

Page(s): 35-39

DOI: DOI not available

Published: Journal: Science International, Volume: 26, Issue: 1, Year: 2014

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