Solutions of a class of singular second-order IVPs by homotopy-perturbation method

被引：102
|
作者：
Chowdhury, M. S. H. [1 ]
Hashim, I. [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia
来源：
PHYSICS LETTERS A | 2007年 / 365卷 / 5-6期
关键词：
homotopy-perturbation method; Lane-Emden equation; singular IVPs;
D O I：
10.1016/j.physleta.2007.02.002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODES) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：439 / 447
页数：9
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