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

Durmaz, Muhammet Enes Cakir, Musa Amirali, Ilhame Amiraliyev, Gabil M.

Journal of Computational and Applied Mathematics2022，Vol.41215.DOI:10.1016/j.cam.2022.114327

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NSTL
Elsevier

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

Durmaz, Muhammet Enes ¹Cakir, Musa ²Amirali, Ilhame ³Amiraliyev, Gabil M.⁴

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作者信息

1. Kirklareli Univ
2. Van Yuzuncu Yil Univ
3. Duzce Univ
4. Erzincan Binali Yildirim Univ
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Abstract

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.

Key words

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

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出版年

2022

Journal of Computational and Applied Mathematics

EISCI

ISSN：0377-0427

被引量5

参考文献量27

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