Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems

被引：23

作者：

Mohanty, RK ^{[1
]}

Jha, N

Evans, DJ

机构：

[1] Univ Delhi, Fac Math Sci, Dept Math, Delhi 110007, India

[2] Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2004年 / 81卷 / 05期

关键词：

spline in compression; singular problems; singularity; singular perturbation; RMS errors;

D O I：

10.1080/00207160410001684307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, using spline in compression, we discuss three difference schemes for the numerical solution of singularly perturbed two-point singular boundary-value problems. The proposed schemes are second-order accurate and applicable to problems both in singular and non-singular cases. Convergence analysis of a difference scheme is discussed and numerical results are given to illustrate the utility of the proposed methods.

引用

页码：615 / 627

页数：13

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