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

共 50 条

[1] Solving variational problems by homotopy-perturbation method
Abdulaziz, O.
Hashim, I.
Chowdhury, M. S. H.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 75 (06) : 709 - 721
[2] Homotopy-perturbation method for pure nonlinear differential equation
Cveticanin, L.
CHAOS SOLITONS & FRACTALS, 2006, 30 (05) : 1221 - 1230
[3] Comparison of homotopy perturbation method and homotopy analysis method
He, JH
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) : 527 - 539
[4] Application of homotopy-perturbation method to nonlinear population dynamics models
Chowdhury, M. S. H.
Hashim, I.
Abdulaziz, O.
PHYSICS LETTERS A, 2007, 368 (3-4) : 251 - 258
[5] Comparison between the homotopy analysis method and homotopy perturbation method
Liao, SJ
APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (02) : 1186 - 1194
[6] Application of homotopy-perturbation method to fractional IVPs
Abdulaziz, O.
Hashim, I.
Momani, S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 216 (02) : 574 - 584
[7] RATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR QUADRATIC PROBLEMS AND COMPARISON WITH HOMOTOPY PERTURBATION METHOD
Li, Hairong
He, Xiqin
Sun, Chao
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2021, 17 (03): : 933 - 948
[8] Homotopy perturbation method for bifurcation of nonlinear problems
He, JH
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) : 207 - 208
[9] Analytical Treatment of System of Linear and Nonlinear PDEs by Homotopy-Perturbation Method
Chowdhury, M. S. H.
Hashim, I.
Ismail, A. F.
WORLD CONGRESS ON ENGINEERING, WCE 2010, VOL III, 2010, : 1860 - 1863
[10] Application of homotopy-perturbation method to the second kind of nonlinear integral equations
Ganji, D. D.
Afrouzi, G. A.
Hosseinzadeh, H.
Talarposhti, R. A.
PHYSICS LETTERS A, 2007, 371 (1-2) : 20 - 25

← 1 2 3 4 5 →