Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems

In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the resu...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Abdulaziz, O.
Format: Article
Language:English
Published: Elsevier 2009
Subjects:
Online Access:http://irep.iium.edu.my/6647/
http://irep.iium.edu.my/6647/
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http://irep.iium.edu.my/6647/1/Comparison_of_homotopy_analysis_method_and_homotopy-perturbation_method_for_purely_nonlinear_fin-.pdf
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spelling iium-66472014-09-03T09:17:38Z http://irep.iium.edu.my/6647/ Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems Chowdhury, Md. Sazzad Hossien Hashim, Ishak Abdulaziz, O. QA76 Computer software In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the results obtained by the HAM with that obtained by the ADM and HPM suggest that both the HPM and ADM are special case of the HAM. Elsevier 2009-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6647/1/Comparison_of_homotopy_analysis_method_and_homotopy-perturbation_method_for_purely_nonlinear_fin-.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Abdulaziz, O. (2009) Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems. Communications in Nonlinear Science and Numerical Simulation, 14 (2). pp. 371-378. ISSN 1007-5704 http://www.sciencedirect.com/science/article/pii/S1007570407002444 doi:10.1016/j.cnsns.2007.09.005
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Abdulaziz, O.
Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
description In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the results obtained by the HAM with that obtained by the ADM and HPM suggest that both the HPM and ADM are special case of the HAM.
format Article
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Abdulaziz, O.
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Abdulaziz, O.
author_sort Chowdhury, Md. Sazzad Hossien
title Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
title_short Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
title_full Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
title_fullStr Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
title_full_unstemmed Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
title_sort comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
publisher Elsevier
publishDate 2009
url http://irep.iium.edu.my/6647/
http://irep.iium.edu.my/6647/
http://irep.iium.edu.my/6647/
http://irep.iium.edu.my/6647/1/Comparison_of_homotopy_analysis_method_and_homotopy-perturbation_method_for_purely_nonlinear_fin-.pdf
first_indexed 2023-09-18T20:15:43Z
last_indexed 2023-09-18T20:15:43Z
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