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

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5807/115
Uncontrolled Keywords:	homotopy-perturbation method, nonlinear differential equations, fin, extended surface
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	27 May 2011 12:04
Last Modified:	26 Aug 2011 12:32
URI:	http://irep.iium.edu.my/id/eprint/115

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