A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems

In this paper, we applied the homotopy-perturbation method (HPM) to evaluate the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. The time interval is divided into several subintervals and the HPM solutions are applied successively over t...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hassan, Talib Hashim
Format:	Article
Language:	English
Published:	INSInet Publications 2011
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/115/ http://irep.iium.edu.my/115/ http://irep.iium.edu.my/115/1/Sazzad-AJBAS-2011.pdf

id	iium-115
recordtype	eprints
spelling	iium-1152011-08-26T04:32:14Z http://irep.iium.edu.my/115/ A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim QA Mathematics QC Physics In this paper, we applied the homotopy-perturbation method (HPM) to evaluate the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. The time interval is divided into several subintervals and the HPM solutions are applied successively over these reduced time intervals. Comparisons between the 13-term HPM solution on a fixed time step and 6-term HPM solution on three different time steps are made. The results indicates that the obtained solution using different time step is quite accurate when only the six terms are used in the series expansion. INSInet Publications 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/115/1/Sazzad-AJBAS-2011.pdf Chowdhury, Md. Sazzad Hossien and Hassan, Talib Hashim (2011) A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems. Australian Journal of Basic and Applied Sciences, 5 (4). pp. 44-50. ISSN 1991-8178 http://www.insipub.com/ajbas/2011/44-50.pdf
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
description	In this paper, we applied the homotopy-perturbation method (HPM) to evaluate the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. The time interval is divided into several subintervals and the HPM solutions are applied successively over these reduced time intervals. Comparisons between the 13-term HPM solution on a fixed time step and 6-term HPM solution on three different time steps are made. The results indicates that the obtained solution using different time step is quite accurate when only the six terms are used in the series expansion.
format	Article
author	Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim
author_facet	Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim
author_sort	Chowdhury, Md. Sazzad Hossien
title	A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
title_short	A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
title_full	A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
title_fullStr	A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
title_full_unstemmed	A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
title_sort	new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems
publisher	INSInet Publications
publishDate	2011
url	http://irep.iium.edu.my/115/ http://irep.iium.edu.my/115/ http://irep.iium.edu.my/115/1/Sazzad-AJBAS-2011.pdf
first_indexed	2023-09-18T20:07:04Z
last_indexed	2023-09-18T20:07:04Z
_version_	1777407229810442240

A new reliable algorithm based on homotopy-perturbation method for power-law fin-type problems

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