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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/115/1/Sazzad-AJBAS-2011.pdf
http://irep.iium.edu.my/115/
http://www.insipub.com/ajbas/2011/44-50.pdf
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/115/1/Sazzad-AJBAS-2011.pdf
http://irep.iium.edu.my/115/
http://www.insipub.com/ajbas/2011/44-50.pdf
_version_ 1643604539863990272
score 13.159267

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