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

On the volterra delay-integro-differential equation with layer behavior and its numerical solution

ArticleAçık Erişim

Özet

In this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part. Error estimates are obtained using difference analogue of Gronwall's inequality with delay. A numerical test that confirms the theoretical results is presented. © 2019 Miskolc University Press.

Anahtar Kelimeler

Finite differenceSingular perturbationUniform convergenceVolterra delay-integro-differential equation
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14430Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.18514/mmn.2019.2424Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorYapman, Ömer
dc.date.accessioned2026-10-18T20:29:13.576593983Z
dc.date.available2026-10-18T20:29:13.576593983Z
dc.date.issued2019
dc.description.abstractIn this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part. Error estimates are obtained using difference analogue of Gronwall's inequality with delay. A numerical test that confirms the theoretical results is presented. © 2019 Miskolc University Press.
dc.identifier.doi10.18514/mmn.2019.2424
dc.identifier.eissn1787-2413
dc.identifier.endpage87
dc.identifier.issn1787-2405
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85067504879
dc.identifier.startpage75
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14430
dc.identifier.volume20
dc.identifier.wosWOS:000471249600007
dc.language.isoen
dc.publisherUniversity of Miskolc
dc.relation.ispartofMiskolc Mathematical Notes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectVolterra delay-integro-differential equation
dc.titleOn the volterra delay-integro-differential equation with layer behavior and its numerical solution
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus16
rdl.citation.wos15
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)