Predictor homotopy analysis method and its application to some nonlinear problems

被引：68

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 / 06期

关键词：

Predictor homotopy analysis method; Homotopy analysis method; Rule of multiplicity of solutions; Prescribed parameter; Convergence-controller parameter; CONVECTION; FLOW; EQUATIONS;

D O I：

10.1016/j.cnsns.2010.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to present a kind of analytical method so-called Predictor homotopy analysis method (PHAM) to predict the multiplicity of the solutions of nonlinear differential equations with boundary conditions. This method is very useful especially for those boundary value problems which admit multiple solutions and furthermore is capable to calculate all branches of the solutions simultaneously. As illustrative examples, the method is checked by the model of mixed convection flows in a vertical channel and a nonlinear model arising in heat transfer which both admit multiple (dual) solutions. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2456 / 2468

页数：13

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