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

dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmirali, İlhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2020-04-30T22:38:39Z
dc.date.available2020-04-30T22:38:39Z
dc.date.issued2016
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionKUDU, Mustafa/0000-0002-6610-0587en_US
dc.descriptionWOS: 000381546600025en_US
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. (C) 2016 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cam.2016.06.018en_US
dc.identifier.endpage390en_US
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage379en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2016.06.018
dc.identifier.urihttps://hdl.handle.net/20.500.12684/2351
dc.identifier.volume308en_US
dc.identifier.wosWOS:000381546600025en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal Of Computational And Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDelay difference schemeen_US
dc.subjectLayer adapted meshen_US
dc.subjectUniform convergenceen_US
dc.subjectSingular perturbationen_US
dc.titleA finite-difference method for a singularly perturbed delay integro-differential equationen_US
dc.typeArticleen_US

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