Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Fredholm Integro-Differential Equation; Singular Perturbation; Finite Difference Methods; Shishkin Mesh; Uniform Convergence, Convergence Analysis
Kaynak
Journal of Computational and Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
412
