Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations

被引：12

作者：

Cakir, Musa ^{[1
]}

Gunes, Baransel ^{[1
]}

机构：

[1] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2022年 / 29卷 / 02期

关键词：

Difference scheme; error estimate; Fredholm integro-differential equation; singular perturbation; uniform mesh; Volterra integro-differential equation; DECOMPOSITION METHOD; NUMERICAL-SOLUTION; APPROXIMATE; SYSTEM;

D O I：

10.1515/gmj-2021-2130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, singularly perturbed mixed integro-differential equations (SPMIDEs) are taken into account. First, the asymptotic behavior of the solution is investigated. Then, by using interpolating quadrature rules and an exponential basis function, the finite difference scheme is constructed on a uniform mesh. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Some numerical examples are solved, and numerical outcomes are obtained.

引用

页码：193 / 203

页数：11

共 43 条

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