Some notes on using the homotopy perturbation method for solving time-dependent differential equations

被引：55
作者：
Babolian, E. [1 ]
Azizi, A. [1 ]
Saeidian, J. [1 ]
机构：
[1] Tarbiat Moallem Univ, Dept Math & Comp Sci, Tehran 1561836314, Iran
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 1-2期
关键词：
Homotopy perturbation method; Klein-Gordon equations; Emden-Fowler equations; Evolution equations; Cauchy reaction-diffusion equations; FOWLER TYPE EQUATIONS; IVPS;
D O I：
10.1016/j.mcm.2009.03.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Although attempts have been made to solve time-dependent differential equations using homotopy perturbation method (HPM), none of the researchers have provided a universal homotopy equation. In this paper, going one step forward, we intend to make some guidelines for beginners who want to use the homotopy perturbation technique for solving their equations. These guidelines are based on the L part of the homotopy equation and the initial guess. Afterwards, for solving time-dependent differential equations, we suggest a universal L and nu(0) in the homotopy equation. Examples assuring the efficiency and convenience of the suggested homotopy equation are comparatively presented. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：213 / 224
页数：12
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