Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay

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dc.contributor.authorYapman, Ömer
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorAmirali, İlhame
dc.date.accessioned2020-04-30T22:41:43Z
dc.date.available2020-04-30T22:41:43Z
dc.date.issued2019
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionYapman, Omer/0000-0003-3117-2932en_US
dc.descriptionWOS: 000463302400022en_US
dc.description.abstractIn this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra integro-differential equation was considered. By the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder term in integral form, a fitted difference scheme is constructed and analysed. It is shown that the method displays first order uniform convergence in perturbation parameter. Some numerical results are given to confirm the theoretical analysis. (C) 2019 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cam.2019.01.026en_US
dc.identifier.endpage309en_US
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage301en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2019.01.026
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3237
dc.identifier.volume355en_US
dc.identifier.wosWOS:000463302400022en_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.subjectFinite difference methoden_US
dc.subjectVolterra delay-integro-differential equationen_US
dc.subjectSingular perturbationen_US
dc.subjectUniform convergenceen_US
dc.titleConvergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delayen_US
dc.typeArticleen_US

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