Erzincan Binali Yıldırım ÜniversitesiErzincan Binali Yıldırım ÜniversitesiAçık Erişim Arşivi · RDL Open

A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

ArticleAçık Erişim

Özet

In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order Fredholm integro-differential equation. The numerical method represents the exponentially fitted scheme on the Shishkin mesh. Numerical example is presented to demonstrate efficiency of proposed method. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.

Anahtar Kelimeler

finite differenceFredholm integro-differential equationShishkin meshsingular perturbationuniform convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13246Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s00009-020-01693-2Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:28:05.273183039Z
dc.date.available2026-10-18T20:28:05.273183039Z
dc.date.issued2021
dc.description.abstractIn this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order Fredholm integro-differential equation. The numerical method represents the exponentially fitted scheme on the Shishkin mesh. Numerical example is presented to demonstrate efficiency of proposed method. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.
dc.identifier.doi10.1007/s00009-020-01693-2
dc.identifier.eissn1660-5454
dc.identifier.issn1660-5446
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85098892352
dc.identifier.startpage24
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13246
dc.identifier.volume18
dc.identifier.wosWOS:000608012300003
dc.language.isoen
dc.publisherBirkhauser
dc.relation.ispartofMediterranean Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectfinite difference
dc.subjectFredholm integro-differential equation
dc.subjectShishkin mesh
dc.subjectsingular perturbation
dc.subjectuniform convergence
dc.titleA Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus45
rdl.citation.wos42
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)