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

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

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Abstract

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.

Item Type: Article (Journal)
Additional Information: 5807/6647
Uncontrolled Keywords: Homotopy analysis method; Homotopy-perturbation method; Nonlinear DEs; Fins
Subjects: Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Science
Depositing User: Dr. Md Sazzad Hossien Chowdhury
Date Deposited: 24 Nov 2011 14:28
Last Modified: 03 Sep 2014 17:17
URI: http://irep.iium.edu.my/id/eprint/6647

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