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An efficient approach for fractional Harry Dym equation by using Sumudu transform


Kumar, Devendra and Singh, Jagdev and Kilicman, Adem (2013) An efficient approach for fractional Harry Dym equation by using Sumudu transform. Abstract and Applied Analysis, 2013. art. no. 608943. pp. 1-8. ISSN 1085-3375; ESSN: 1687-0409


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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Official URL or Download Paper: http://www.hindawi.com/journals/aaa/2013/608943/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/608943
Publisher: Hindawi Publishing Corporation
Keywords: Sumudu transform; Hary Dym equation; Adomian decomposition method
Depositing User: Umikalthom Abdullah
Date Deposited: 26 Aug 2014 04:33
Last Modified: 20 Oct 2017 02:49
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/608943
URI: http://psasir.upm.edu.my/id/eprint/30201
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