Numerical study for a class of singular two-point boundary value problems using Green's functions

被引：17
作者：
Cen, Zhongdi [1 ]
机构：
[1] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 183卷 / 01期
关键词：
singular equations; boundary value problems; Green's function; convergence;
D O I：
10.1016/j.amc.2006.01.096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper,we present a numerical method based on a non-uniform mesh for a class of sin gular two-point boundary value problems. Green's function of the singular boundary value problem is used to derive an equivalent integral equation which is then solved by interpolation with quadratic polynomials. It is shown to be third-order convergent. Numerical results are presented which are in agreement with the theoretical error bound. (c) 2006 Elsevier Inc. All rights reserved.
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页码：10 / 16
页数：7
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