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A NUMERICAL APPROACH FOR SOLVING VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATION

ArticleAçık Erişim

Özet

In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems to support the theoretical analysis. © (2024), (University of Miskolc). All rights reserved.

Anahtar Kelimeler

error estimatefinite differenceuniform convergenceVolterra delay integro-differential equation
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/11582Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.18514/mmn.2024.4562Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorDurmaz, Muhammet Enes
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:26:36.850578810Z
dc.date.available2026-10-18T20:26:36.850578810Z
dc.date.issued2024
dc.description.abstractIn this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems to support the theoretical analysis. © (2024), (University of Miskolc). All rights reserved.
dc.identifier.doi10.18514/mmn.2024.4562
dc.identifier.eissn1787-2413
dc.identifier.endpage561
dc.identifier.issn1787-2405
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85212308530
dc.identifier.startpage553
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/11582
dc.identifier.volume25
dc.identifier.wosWOS:001402251100002
dc.language.isoen
dc.publisherUniversity of Miskolc
dc.relation.ispartofMiskolc Mathematical Notes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjecterror estimate
dc.subjectfinite difference
dc.subjectuniform convergence
dc.subjectVolterra delay integro-differential equation
dc.titleA NUMERICAL APPROACH FOR SOLVING VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATION
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.citation.wos1
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)