A new technique of using homotopy analysis method for solving high-order nonlinear differential equations

被引：19

作者：

Hassan, Hany N. ^{[1
]}

El-Tawil, Andmagdy A. ^{[2
]}

机构：

[1] Benha Univ, Dept Basic Sci, High Inst Technol, Banha 13512, Egypt

[2] Cairo Univ, Dept Engn Math & Phys, Fac Engn, Giza, Egypt

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 06期

关键词：

nonlinear initial value problems; homotopy analysis method; modified HAM; system of differential equations; PERTURBATION METHOD; HEAT-TRANSFER; FLUID; FLOW;

D O I：

10.1002/mma.1400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new technique of homotopy analysis method (HAM) is proposed for solving high-order nonlinear initial value problems. This method improves the convergence of the series solution, eliminates the unneeded terms and reduces time consuming in the standard homotopy analysis method (HAM) by transform the nth-order nonlinear differential equation to a system of n first-order equations. Second-and third-order problems are solved as illustration examples of the proposed method. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：728 / 742

页数：15

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