Open Access
2013 Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Jagdev Singh, Devendra Kumar, A. Kılıçman
Abstr. Appl. Anal. 2013(SI08): 1-8 (2013). DOI: 10.1155/2013/934060


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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Jagdev Singh. Devendra Kumar. A. Kılıçman. "Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform." Abstr. Appl. Anal. 2013 (SI08) 1 - 8, 2013.


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

zbMATH: 1262.76082
MathSciNet: MR3034942
Digital Object Identifier: 10.1155/2013/934060

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI08 • 2013
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