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

A finite-difference method for a singularly perturbed delay integro-differential equation

ArticleAçık Erişim

Özet

We consider the singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. Our purpose is to construct and analyse a numerical method with uniform convergence in the perturbation parameter. The numerical solution of this problem is discretized using implicit difference rules for differential part and the composite numerical quadrature rules for integral part. On a layer-adapted mesh error estimations for the approximate solution are established. Numerical examples supporting the theory are presented. © 2016 Elsevier B.V.

Anahtar Kelimeler

Delay difference schemeLayer adapted meshSingular perturbationUniform convergenceConvergence of numerical methodsDifferential equationsInitial value problemsIntegrodifferential equationsMesh generationNumerical methodsPerturbation techniquesApproximate solutionDifference schemesLayer adapted meshesNumerical quadraturePerturbation parametersSingular perturbationsVolterra integro-differential equationsFinite difference method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14826Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.cam.2016.06.018Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:29:37.562664278Z
dc.date.available2026-10-18T20:29:37.562664278Z
dc.date.issued2016
dc.description.abstractWe consider the singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. Our purpose is to construct and analyse a numerical method with uniform convergence in the perturbation parameter. The numerical solution of this problem is discretized using implicit difference rules for differential part and the composite numerical quadrature rules for integral part. On a layer-adapted mesh error estimations for the approximate solution are established. Numerical examples supporting the theory are presented. © 2016 Elsevier B.V.
dc.identifier.doi10.1016/j.cam.2016.06.018
dc.identifier.eissn1879-1778
dc.identifier.endpage390
dc.identifier.issn0377-0427
dc.identifier.scopus2-s2.0-84977126167
dc.identifier.startpage379
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14826
dc.identifier.volume308
dc.identifier.wosWOS:000381546600025
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDelay difference scheme
dc.subjectLayer adapted mesh
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectConvergence of numerical methods
dc.subjectDifferential equations
dc.subjectInitial value problems
dc.subjectIntegrodifferential equations
dc.subjectMesh generation
dc.subjectNumerical methods
dc.subjectPerturbation techniques
dc.subjectApproximate solution
dc.subjectDifference schemes
dc.subjectLayer adapted meshes
dc.subjectNumerical quadrature
dc.subjectPerturbation parameters
dc.subjectSingular perturbations
dc.subjectVolterra integro-differential equations
dc.subjectFinite difference method
dc.titleA finite-difference method for a singularly perturbed delay integro-differential equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus63
rdl.citation.wos63
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)