A fully discrete scheme on piecewise-equidistant mesh for singularly perturbed delay integro-differential equations

被引：0

作者：

Cakir, Musa ^{[1
]}

Gunes, Baransel ^{[1
]}

机构：

[1] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 09期

关键词：

Delay differential equation; difference scheme; integro-differential equation; singular perturbation; uniform convergence; NUMERICAL-SOLUTION;

D O I：

10.2989/16073606.2024.2343669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper chiefly takes into account the singularly perturbed delay Volterra-Fredholm integro-differential equations by numerically. In this context, firstly, priori estimates are given and a new discretization is constructed on piecewise-equidistant mesh by using interpolating quadrature rules [2] and composite integration formulas. Then, the convergence analysis and stability bounds of the presented method are discussed. Finally, numerical results are demonstrated with two test problems.

引用

页码：1913 / 1933

页数：21

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