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

被引：72

作者：

Chowdhury, M. S. H. ^{[1
]}

Hashim, I. ^{[1
]}

Abdulaziz, O. ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi Selangar 43600, Malaysia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 02期

关键词：

Homotopy analysis method; Homotopy-perturbation method; Nonlinear DEs; Fins; APPROXIMATE SOLUTION TECHNIQUE; BOILING HEAT-TRANSFER; TEMPERATURE DISTRIBUTION; SMALL PARAMETERS; SURFACE; FLUID; PLATE; FLOW;

D O I：

10.1016/j.cnsns.2007.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：371 / 378

页数：8

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