FITTED MESH METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL TURNING POINT PROBLEMS EXHIBITING TWIN BOUNDARY LAYERS

被引：2

作者：

Melesse, Wondwosen Gebeyaw ^{[1
]}

Tiruneh, Awoke Andargie ^{[2
]}

Derese, Getachew Adamu ^{[2
]}

机构：

[1] Dilla Univ, Dept Math, Coll Nat & Computat Sci, Dilla, Ethiopia

[2] Bahir Dar Univ, Coll Sci, Dept Math, Bahir Dar, Ethiopia

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2020年 / 38卷 / 1-2期

关键词：

Singularly perturbed problems; Delay differential equations; Turning point problems; Hybrid difference schemes; Boundary layers; NUMERICAL-METHOD; SMALL SHIFTS; EQUATIONS; OSCILLATIONS; BIFURCATION;

D O I：

10.14317/jami.2020.113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of linear second order singularly perturbed delay differential turning point problems containing a small delay (or negative shift) on the reaction term and when the solution of the problem exhibits twin boundary layers are examined. A hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the problem. We proved that the method is almost second order epsilon-uniformly convergent in the maximum norm. Numerical experiments are considered to illustrate the theoretical results.

引用

页码：113 / 132

页数：20

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