Finite difference scheme for third order singularly perturbed delay differential equation of convection diffusion type with integral boundary condition

被引：9

作者：

Sekar, Elango ^{[1
]}

Tamilselvan, Ayyadurai ^{[1
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 61卷 / 1-2期

关键词：

Singularly perturbed problems; Delay differential equation; Finite difference scheme; Shishkin mesh; Integral boundary condition; NUMERICAL TREATMENT;

D O I：

10.1007/s12190-019-01239-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of third order singularly perturbed delay differential equations of convection diffusion type with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The method suggested is almost first order convergent. An error estimate is derived in the discrete norm. Numerical examples are presented, which validate the theoretical estimates.

引用

页码：73 / 86

页数：14

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