A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations

In this study, we applied a new algorithm based on Homotopy Perturbation Method (HPM) to evaluate the temperature distribution of a straight rectangular fin with temperature dependent surface heat flux for all possible types of heat transfer. The local heat transfer coefficient is considered to vary...

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Main Author:	Chowdhury, Md. Sazzad Hossien
Format:	Article
Language:	English
Published:	Asian Network for Scientific Information 2011
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/1/A_comparison_between_the_modified_homotopy_perturbation_method_and_Adomian_decomposition_method_for_solving_nonlinear_heat_transfer_equations.pdf

id	iium-2063
recordtype	eprints
spelling	iium-20632011-12-29T00:15:32Z http://irep.iium.edu.my/2063/ A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations Chowdhury, Md. Sazzad Hossien QA76 Computer software In this study, we applied a new algorithm based on Homotopy Perturbation Method (HPM) to evaluate the temperature distribution of a straight rectangular fin with temperature dependent surface heat flux for all possible types of heat transfer. The local heat transfer coefficient is considered to vary with a power-law function of temperature. 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 Adomian decomposition solution and 6-term modified HPM solution are made. Comparison of the results obtained by modified HPM with that obtained by the Adomian Decomposition Method (ADM) reveals that the obtained modified HPM solution is quite accurate when only the six terms are used in the series expansion. Asian Network for Scientific Information 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/2063/1/A_comparison_between_the_modified_homotopy_perturbation_method_and_Adomian_decomposition_method_for_solving_nonlinear_heat_transfer_equations.pdf Chowdhury, Md. Sazzad Hossien (2011) A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations. Journal of Applied Sciences, 11 (7). pp. 1416-1420. ISSN 1812-5662 (O), 1812-5654 (P) http://scialert.net/fulltext/?doi=jas.2011.1416.1420&org=11 DOI: 10.3923/jas.2011.1416.1420
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 A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
description	In this study, we applied a new algorithm based on Homotopy Perturbation Method (HPM) to evaluate the temperature distribution of a straight rectangular fin with temperature dependent surface heat flux for all possible types of heat transfer. The local heat transfer coefficient is considered to vary with a power-law function of temperature. 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 Adomian decomposition solution and 6-term modified HPM solution are made. Comparison of the results obtained by modified HPM with that obtained by the Adomian Decomposition Method (ADM) reveals that the obtained modified HPM solution is quite accurate when only the six terms are used in the series expansion.
format	Article
author	Chowdhury, Md. Sazzad Hossien
author_facet	Chowdhury, Md. Sazzad Hossien
author_sort	Chowdhury, Md. Sazzad Hossien
title	A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
title_short	A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
title_full	A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
title_fullStr	A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
title_full_unstemmed	A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
title_sort	comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
publisher	Asian Network for Scientific Information
publishDate	2011
url	http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/1/A_comparison_between_the_modified_homotopy_perturbation_method_and_Adomian_decomposition_method_for_solving_nonlinear_heat_transfer_equations.pdf
first_indexed	2023-09-18T20:09:36Z
last_indexed	2023-09-18T20:09:36Z
_version_	1777407388694872064

A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations

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