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

ArticleAçık Erişim

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. © 2022 Elsevier B.V.

Anahtar Kelimeler

Finite difference methodsFredholm integro-differential equationShishkin meshSingular perturbationUniform convergenceConvergence of numerical methodsIntegrodifferential equationsDifference methodFinite-difference methodsFredholm equationFredholm integro-differential equationsNumerical solutionSecond ordersShishkin meshesSingular perturbationsSingularly perturbedFinite difference method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12631Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.cam.2022.114327Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorCakir, Musa
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:30.678768172Z
dc.date.available2026-10-18T20:27:30.678768172Z
dc.date.issued2022
dc.description.abstractThis 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. © 2022 Elsevier B.V.
dc.identifier.doi10.1016/j.cam.2022.114327
dc.identifier.eissn1879-1778
dc.identifier.issn0377-0427
dc.identifier.scopus2-s2.0-85129469238
dc.identifier.startpage114327
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12631
dc.identifier.volume412
dc.identifier.wosWOS:000829826200016
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference methods
dc.subjectFredholm integro-differential equation
dc.subjectShishkin mesh
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectConvergence of numerical methods
dc.subjectIntegrodifferential equations
dc.subjectDifference method
dc.subjectFinite-difference methods
dc.subjectFredholm equation
dc.subjectFredholm integro-differential equations
dc.subjectNumerical solution
dc.subjectSecond orders
dc.subjectShishkin meshes
dc.subjectSingular perturbations
dc.subjectSingularly perturbed
dc.subjectFinite difference method
dc.titleNumerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus22
rdl.citation.wos20
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)