A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method

被引：95
作者：
Ebaid, Abdelhalim [1 ]
机构：
[1] Tabuk Univ, Dept Math, Fac Sci, Tabuk 71491, Saudi Arabia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期
关键词：
Adomian decomposition method; Thomas-Fermi equation; Singular boundary value problems; FINITE-DIFFERENCE METHOD; POSITIVE SOLUTIONS; RELIABLE ALGORITHM; EQUATION; TRANSFORMATION; SPLINE; FLUID; BVPS; FLOW;
D O I：
10.1016/j.cam.2010.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the Adomian decomposition method, a new analytical and numerical treatment is introduced in this research to investigate linear and non-linear singular two-point BVPs. The effectiveness of the proposed approach is verified by several linear and non-linear examples. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1914 / 1924
页数：11
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