Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Joint Authors
Kumar, Devendra
Singh, Jagdev
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Singh, Jagdev& Kumar, Devendra& Kiliçman, Adem. 2013. Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-509346
Modern Language Association (MLA)
Singh, Jagdev…[et al.]. Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-509346
American Medical Association (AMA)
Singh, Jagdev& Kumar, Devendra& Kiliçman, Adem. Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-509346
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509346