Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform

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 re...

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Main Authors: Singh, Jagdev, Kumar, Devendra, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30136/1/30136.pdf
http://psasir.upm.edu.my/id/eprint/30136/
http://www.hindawi.com/journals/aaa/2013/934060/
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spelling my.upm.eprints.301362017-10-20T03:40:52Z http://psasir.upm.edu.my/id/eprint/30136/ Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform Singh, Jagdev Kumar, Devendra Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30136/1/30136.pdf 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 http://www.hindawi.com/journals/aaa/2013/934060/ 10.1155/2013/934060
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Singh, Jagdev
Kumar, Devendra
Kilicman, Adem
spellingShingle Singh, Jagdev
Kumar, Devendra
Kilicman, Adem
Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
author_facet Singh, Jagdev
Kumar, Devendra
Kilicman, Adem
author_sort Singh, Jagdev
title Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
title_short Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
title_full Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
title_fullStr Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
title_full_unstemmed Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
title_sort homotopy perturbation method for fractional gas dynamics equation using sumudu transform
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30136/1/30136.pdf
http://psasir.upm.edu.my/id/eprint/30136/
http://www.hindawi.com/journals/aaa/2013/934060/
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score 13.251813