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Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation

ArticleAçık Erişim

Özet

In this paper, we consider the linear first order singularly perturbed Fredholm integro-differential equation. For the solution of this problem, fitted difference scheme is constructed on a Shishkinmesh. Themethod is based on the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder terms in integral form. The method is proved to be second-order convergent in the discrete maximum norm. Also, numerical results are given to support theoretical analysis. © 2020 Belgian Mathematical Society. All rights reserved.

Anahtar Kelimeler

Finite differencemethodsFredholm integro-differential equationShishkin meshSingular perturbationUniform convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13863Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.36045/bbms/1590199305Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorKudu, Mustafa
dc.date.accessioned2026-10-18T20:28:39.971395952Z
dc.date.available2026-10-18T20:28:39.971395952Z
dc.date.issued2020
dc.description.abstractIn this paper, we consider the linear first order singularly perturbed Fredholm integro-differential equation. For the solution of this problem, fitted difference scheme is constructed on a Shishkinmesh. Themethod is based on the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder terms in integral form. The method is proved to be second-order convergent in the discrete maximum norm. Also, numerical results are given to support theoretical analysis. © 2020 Belgian Mathematical Society. All rights reserved.
dc.identifier.doi10.36045/bbms/1590199305
dc.identifier.endpage88
dc.identifier.issn1370-1444
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85089083763
dc.identifier.startpage71
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13863
dc.identifier.volume27
dc.language.isoen
dc.publisherBelgian Mathematical Society
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite differencemethods
dc.subjectFredholm integro-differential equation
dc.subjectShishkin mesh
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.titleFitted second order numerical method for a singularly perturbed Fredholm integro-differential equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus24
rdl.source.indexSCOPUS