Uniform difference method for parameterized singularly perturbed delay differential equations

被引：18

作者：

Amiraliyeva, I. G. ^{[1
]}

Amiraliyev, G. M. ^{[1
]}

机构：

[1] Sinop Univ, Dept Math, Fac Sci, TR-57000 Sinop, Turkey

来源：

NUMERICAL ALGORITHMS | 2009年 / 52卷 / 04期

关键词：

Delay differential equation; Parameterized problem; Singular perturbation; Piecewise-uniform mesh; Error estimates; BOUNDARY-VALUE-PROBLEMS; STABILITY; EXISTENCE; SYSTEMS;

D O I：

10.1007/s11075-009-9295-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the singularly perturbed initial value problem for quasilinear first-order delay differential equation depending on a parameter. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Some numerical experiments illustrate in practice the result of convergence proved theoretically.

引用

页码：509 / 521

页数：13

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