Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method

被引：21

作者：

Abbasbandy, S. ^{[1
]}

Shivanian, E. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34149, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 07期

关键词：

Pseudo-spectral collocation method; Newton iteration method; Multiple solutions; Semi-infinite interval; Chebyshev-Gauss-Lobatto points; Chebyshev interpolation; CHEBYSHEV;

D O I：

10.1016/j.cnsns.2010.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

One knows that calculation of all branches of solutions of nonlinear boundary value problems can be difficult even by numerical methods, especially when the boundary conditions occur at infinity. Regarding this matter, this paper considers a model of mixed convection in a porous medium with boundary conditions on semi-infinite interval which admits multiple (dual) solutions. Furthermore, pseudo-spectral collocation method is applied in erudite way to calculate both dual solutions analytically. Comparison to exact solutions reveals reliability and high accuracy of the procedure and convince to be used to obtain multiple solutions of these kind of nonlinear problems. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2745 / 2752

页数：8

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