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2013 An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Devendra Kumar, Jagdev Singh, A. Kılıçman
Abstr. Appl. Anal. 2013(SI50): 1-8 (2013). DOI: 10.1155/2013/608943

Abstract

An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM). Furthermore, the same problem is solved by Adomian decomposition method (ADM). The results obtained by the two methods are in agreement, and, hence, this technique may be considered an alternative and efficient method for finding approximate solutions of both linear and nonlinear fractional differential equations. The HPSTM is a combined form of sumudu transform, homotopy perturbation method, and He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The numerical solutions obtained by the HPSTM show that the approach is easy to implement and computationally very attractive.

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Devendra Kumar. Jagdev Singh. A. Kılıçman. "An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform." Abstr. Appl. Anal. 2013 (SI50) 1 - 8, 2013. https://doi.org/10.1155/2013/608943

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1275.65086
MathSciNet: MR3064334
Digital Object Identifier: 10.1155/2013/608943

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI50 • 2013
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