Modified homotopy analysis method for solving systems of second-order BVPs

被引：75

作者：

Bataineh, A. Sami ^{[1
]}

Noorani, M. S. M. ^{[1
]}

Hashim, I. ^{[1
]}

机构：

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

来源：

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

关键词：

Boundary-value problems; Homotopy analysis method; Modified homotopy analysis method; ORDINARY DIFFERENTIAL-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; APPROXIMATE SOLUTION TECHNIQUE; OLDROYD 8-CONSTANT FLUID; ANALYTIC SOLUTION; 2ND-GRADE FLUID; HEAT-TRANSFER; PERTURBATION METHOD; STRETCHING SHEET; SMALL PARAMETERS;

D O I：

10.1016/j.cnsns.2007.09.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM. (c) 2007 Published by Elsevier B.V.

引用

页码：430 / 442

页数：13

共 39 条

[1] The application of homotopy analysis method to nonlinear equations arising in heat transfer
Abbasbandy, S.
[J]. PHYSICS LETTERS A, 2006, 360 (01) : 109 - 113
[2] ABBASBANDY S, 2006, PHYS LETT A, V15, P1
[3] ABBASBANDY S, 2007, CHEM ENG J
[4] Exact flow of a third grade fluid past a porous plate using homotopy analysis method
Ayub, M
Rasheed, A
Hayat, T
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2003, 41 (18) : 2091 - 2103
[5] The homotopy analysis method for Cauchy reaction-diffusion problems
Bataineh, A. Sami
Noorani, M. S. M.
Hashim, I.
[J]. PHYSICS LETTERS A, 2008, 372 (05) : 613 - 618
[6] Solutions of time-dependent Emden-Fowler type equations by homotopy analysis method
Bataineh, A. Sami
Noorani, M. S. M.
Hashim, I.
[J]. PHYSICS LETTERS A, 2007, 371 (1-2) : 72 - 82
[7] BATAINEH AS, APPL HOMOTOPY UNPUB
[8] BATAINEH AS, COMPUT MATH IN PRESS
[9] BATAINEH AS, SERIES SOLUTIO UNPUB
[10] BATAINEH AS, SOLUTIONS EMDE UNPUB

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