Further developments to the decomposition method for solving singular initial-value problems

被引：4

作者：

Aslanov, Afgan ^{[1
]}

Abu-Alshaikh, Ibrahim ^{[2
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

[2] Appl Sci Univ, Dept Mech & Ind Engn, Amman 11931, Jordan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 5-6期

关键词：

Emden-Fowler equations; decomposition method; approximate solution; ordinary differential equations;

D O I：

10.1016/j.mcm.2007.10.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Singular initial-value problems in second-order ordinary differential equations of Lane-Emden type are investigated. In this study, we shall introduce a further development in the Adomian decomposition method to overcome the difficulty at the singular point of non-homogeneous, linear and non-linear Lane-Emden-like equations; especially when the singularity appears on the right-hand side of this type of equations. A more general concept of this type of initial-value problem is introduced with various examples. The numerical results of these examples are compared with exact solutions when available. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：700 / 711

页数：12

共 19 条

[1] A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].