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Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition

ArticleAçık Erişim

Özet

In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained. © TÜBİTAK

Anahtar Kelimeler

Finite difference methodsFredholm integro differential equationShishkin meshSingular perturbationUniform convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12610Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.3906/mat-2109-11Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorKudu, Mustafa
dc.date.accessioned2026-10-18T20:27:29.407579322Z
dc.date.available2026-10-18T20:27:29.407579322Z
dc.date.issued2022
dc.description.abstractIn this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained. © TÜBİTAK
dc.identifier.doi10.3906/mat-2109-11
dc.identifier.eissn1303-6149
dc.identifier.endpage224
dc.identifier.issn1300-0098
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85123616439
dc.identifier.startpage207
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12610
dc.identifier.volume46
dc.identifier.wosWOS:000743607900001
dc.language.isoen
dc.publisherTUBITAK
dc.relation.ispartofTurkish Journal of 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.titleNumerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus16
rdl.citation.trdizin2
rdl.citation.wos8
rdl.departmentERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ
rdl.departmentKIRKLARELİ ÜNİVERSİTESİ
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.source.indexTRDIZIN
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)