A new spectral-homotopy analysis method for solving a nonlinear second order BVP

被引：93

作者：

Motsa, S. S. ^{[2
]}

Sibanda, P. ^{[1
]}

Shateyi, S. ^{[3
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

[2] Univ Swaziland, Dept Math, Kwaluseni, Swaziland

[3] Univ Venda, Dept Math, ZA-0950 Thohoyandou, South Africa

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

Homotopy analysis method; Chebyshev spectral method; Brinkman-Forchheimer model; FLOW;

D O I：

10.1016/j.cnsns.2009.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A modification of the homotopy analysis method (HAM) for solving nonlinear second-order boundary value problems (BVPs) is proposed. The implementation of the new approach is demonstrated by solving the Darcy-Brinkman-Forchheimer equation for steady fully developed fluid flow in a horizontal channel filled with a porous medium. The model equation is solved concurrently using the standard HAM approach and numerically using a shooting method based on the fourth order Runge-Kutta scheme. The results demonstrate that the new spectral homotopy analysis method is more efficient and converges faster than the standard homotopy analysis method. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2293 / 2302

页数：10

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