Quintic spline approach to the solution of a singularly-perturbed boundary-value problem

被引：23

作者：

Aziz, T ^{[1
]}

Khan, A ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Appl Math, Aligarh, Uttar Pradesh, India

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 112卷 / 03期

关键词：

singularly-perturbed boundary-value problems; quintic splines; monotone matrices; boundary layers; uniform convergence;

D O I：

10.1023/A:1017959915002

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A fourth-order uniform mesh difference scheme using quintic splines for solving a singularly-perturbed boundary-value problem of the form -epsilon y" + P(x)y = f(x), p(x) > 0, y(0) = alpha(0), y(1) = alpha(1), is derived. Our scheme leads to a pentadiagonal linear system. The convergence analysis is given and the method is shown to have fourth-order convergence. Numerical illustrations are given to confirm the theoretical analysis of our method.

引用

页码：517 / 527

页数：11

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