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

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

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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.

Fredholm integro-differential equationSingular perturbationFinite difference methodsShishkin meshUniform convergenceCONVERGENCE ANALYSIS

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

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Kirklareli Univ

Van Yuzuncu Yil Univ

Duzce Univ

Erzincan Binali Yildirim Univ

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2022

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
年,卷(期):2022.412
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