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Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform


Citation

Singh, Jagdev and Kumar, Devendra and Kilicman, Adem (2013) Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform. Abstract and Applied Analysis, 2013. art. no. 934060. pp. 1-8. ISSN 1085-3375; ESSN: 1687-0409

Abstract

A user friendly algorithm based on new homotopy perturbation Sumudu transform method (HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional derivative is considered in the Caputo sense. Further, 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 proposed method show that the approach is easy to implement and computationally very attractive.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/934060
Publisher: Hindawi Publishing Corporation
Keywords: Homotopy perturbation method; Fractional gas dynamics equation; Sumudu transform
Depositing User: Umikalthom Abdullah
Date Deposited: 02 Jul 2014 02:51
Last Modified: 20 Oct 2017 03:40
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/934060
URI: http://psasir.upm.edu.my/id/eprint/30136
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