Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method

被引：11

作者：

Durmaz, Muhammet Enes ^{[1
]}

Cakir, Musa ^{[2
]}

Amirali, Ilhame ^{[3
]}

Amiraliyev, Gabil M. ^{[4
]}

机构：

[1] Kirklareli Univ, Dept Informat Technol, TR-39000 Kirklareli, Turkey

[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

[3] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkey

[4] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Dept Math, TR-24100 Erzincan, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 412卷

关键词：

Fredholm integro-differential equation; Singular perturbation; Finite difference methods; Shishkin mesh; Uniform convergence; CONVERGENCE ANALYSIS;

D O I：

10.1016/j.cam.2022.114327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work presents a computational approximate to solve singularly perturbed Fredholm integro-differential equation with the reduced second type Fredholm equation. This problem is discretized by a finite difference approximate, which generates second-order uniformly convergent numerical approximations to the solution. Parameter-uniform approximations are generated using Shishkin type meshes. The performance of the numerical scheme is tested which supports the effectiveness of the technique. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：15

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