A Fitted Approximate Method for Solving Singularly Perturbed Volterra-Fredholm Integrodifferential Equations with Integral Boundary Condition

被引：0

作者：

Gunes, Baransel ^{[1
]}

Cakir, Musa ^{[1
]}

机构：

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

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2024年

关键词：

NUMERICAL-METHOD;

D O I：

10.1007/s11253-024-02312-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a novel numerical approach for solving boundary-value problems for the second-order Volterra-Fredholm integrodifferential equation with layer behavior and an integral boundary condition. A finite-difference scheme is proposed on suitable Shishkin-type mesh to obtain an approximate solution of the presented problem. It is proved that the method is first-order convergent in the discrete maximum norm. Two numerical examples are included to show the efficiency of the method.

引用

页码：122 / 140

页数：19

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