A fourth-order finite-difference method based on non-uniform mesh for a class of singular two-point boundary value problems

被引：13
作者：
Aziz, T [1 ]
Kumar, M [1 ]
机构：
[1] Aligarh Muslim Univ, ZH Coll Engn & Technol, Dept Appl Math, Aligarh 202002, Uttar Pradesh, India
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 136卷 / 1-2期
关键词：
singular two-point boundary value problem; finite-difference method; linear interpolation;
D O I：
10.1016/S0377-0427(00)00624-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a three-point finite-difference method based on non-uniform mesh for a class of singular two-point boundary value problem (x(alpha)y ')' = f(x,y) y(0) = A, y(1) = B, 0 less than or equal to alpha <1. We show that the method, based on non-uniform mesh, provides O(h(4))-convergent approximations. This method is illustrated by two numerical examples, one is linear and the other is non-linear. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：337 / 342
页数：6
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