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

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)

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5807/2063
Uncontrolled Keywords:	homotopy-pertubation method, adomian decomposition method, nonlinear DEs, fins
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	08 Sep 2011 14:47
Last Modified:	29 Dec 2011 08:15
URI:	http://irep.iium.edu.my/id/eprint/2063

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