Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes

被引：5

作者：

Blatov, IA ^{[1
]}

Blatova, VV ^{[1
]}

Rozhec, YB ^{[1
]}

Strygin, VV ^{[1
]}

机构：

[1] VORONEZH STATE UNIV,DEPT APPL MATH & MECH,VORONEZH 394693,RUSSIA

来源：

APPLIED NUMERICAL MATHEMATICS | 1997年 / 25卷 / 04期

关键词：

D O I：

10.1016/S0168-9274(97)00053-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note considers strongly nonlinear systems. To numerically analyze boundary value problems, special adaptive meshes and parabolic splines are used. A theorem on the convergence of approximate solutions to exact solutions is proved. Error estimates of order O(1/m(2)), where m is a number of knots of the special partition, are established. (C) 1997 Elsevier Science B.V.

引用

页码：321 / 332

页数：12

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