On a new reliable modification of homotopy analysis method

被引：89

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：

Homotopy analysis method; Modified homotopy analysis method; Non-linear equations; APPROXIMATE SOLUTION TECHNIQUE; PERTURBATION METHOD; NONLINEAR OPERATORS; SMALL PARAMETERS; POROUS PLATE; FLUID; EQUATIONS; EXPLICIT; ERROR; FLOWS;

D O I：

10.1016/j.cnsns.2007.10.007

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 and applied to homogeneous or non-homogeneous differential equations with constant or variable coefficients. A comparative study between the new modified homotopy analysis method (MHAM) and the classical HAM is conducted. The main advantage of MHAM is that one can avoid the uncontrollability problems of the non-zero endpoint conditions encountered in the traditional HAM. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHAM. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：409 / 423

页数：15

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