Approximate solutions of singular two-point BVPs by modified homotopy analysis method

被引：44

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：

PHYSICS LETTERS A | 2008年 / 372卷 / 22期

关键词：

modified homotopy analysis method; singular two-point boundary value problems; series solutions;

D O I：

10.1016/j.physleta.2008.03.026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, approximate solutions of singular two-point boundary value problems (BVPs) are obtained by the modified homotopy analysis methods (MHAM). MHAM provides a convenient way of controlling the convergence region and rate of the series solution. The numerical tests show the capability of MHAM for singular BVPs. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：4062 / 4066

页数：5

共 28 条

[1] The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
Abbasbandy, S.
[J]. PHYSICS LETTERS A, 2007, 361 (06) : 478 - 483
[2] The application of homotopy analysis method to nonlinear equations arising in heat transfer
Abbasbandy, S.
[J]. PHYSICS LETTERS A, 2006, 360 (01) : 109 - 113
[3] Abu-Zaid I.I., 1995, ARAB J MATH SCI, V1, P25
[4] Theory and computation in singular boundary value problems
Al-Khaled, Kamel
[J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (02) : 678 - 684
[5] 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
[6] Modified homotopy analysis method for solving systems of second-order BVPs
Bataineh, A. Sami
Noorani, M. S. M.
Hashim, I.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) : 430 - 442
[7] On a new reliable modification of homotopy analysis method
Bataineh, A. Sami
Noorani, M. S. M.
Hashim, I.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) : 409 - 423
[8] Solving systems of ODEs by homotopy analysis method
Bataineh, A. Sami
Noorani, M. S. M.
Hashim, I.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (10) : 2060 - 2070
[9] 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
[10] 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

← 1 2 3 →