3RD-ORDER VARIABLE-MESH CUBIC SPLINE METHODS FOR NONLINEAR 2-POINT SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS

被引：2

作者：

KADALBAJOO, MK

BAWA, RK

机构：

[1] Department of Mathematics, Indian Institute of Technology, Kanpur

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 77卷 / 02期

关键词：

SINGULARLY PERTURBED 2-POINT BOUNDARY-VALUE PROBLEMS; BOUNDARY LAYERS; VARIABLE-MESH METHOD; CUBIC SPLINES; FINITE-DIFFERENCE SCHEMES;

D O I：

10.1007/BF00940722

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 family of third-order variable-mesh methods for singularly perturbed two-point boundary-value problems of the form epsilony''= f(x, y, y'), y(a) = A, y(b) = B is derived. The convergence analysis is given, and the method is shown to have third-order convergence properties. Several test examples are solved to demonstrate the efficiency of the method.

引用

页码：439 / 451

页数：13

共 7 条

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