Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
type: Item
instance of: scholarly article
title: Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
zbMATH Open document ID: 1262.76082
DOI: 10.1155/2013/934060
author: Jagdev Singh
author: Devendra Kumar
author: Adem Kilicman
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 6161391
Wikidata QID: Q58917760
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/934060
OpenAlex ID: W1996909758
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description: scientific article; zbMATH DE number 6161391