Numerical method for a singularly perturbed convection-diffusion problem with delay

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dc.authoridAMIRALIYEV, Gabil M./0000-0001-6585-7353
dc.authoridCimen, Erkan/0000-0002-7258-192X
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorCimen, Erkan
dc.date.accessioned2025-03-23T19:42:10Z
dc.date.available2025-03-23T19:42:10Z
dc.date.issued2010
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper deals with the singularly perturbed boundary value problem for a linear second-order delay differential equation. For the numerical solution of this problem, we use an exponentially fitted difference scheme on a uniform mesh which is accomplished by the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form. It is shown that one gets first order convergence in the discrete maximum norm, independently of the perturbation parameter. Numerical results are presented which illustrate the theoretical results. (C) 2010 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2010.03.080
dc.identifier.endpage2359
dc.identifier.issn0096-3003
dc.identifier.issue8
dc.identifier.scopus2-s2.0-77953135860
dc.identifier.scopusqualityQ1
dc.identifier.startpage2351
dc.identifier.urihttps://doi.org/10.1016/j.amc.2010.03.080
dc.identifier.urihttps://hdl.handle.net/11486/6719
dc.identifier.volume216
dc.identifier.wosWOS:000278151900015
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectSingular perturbation
dc.subjectBoundary value problem
dc.subjectFitted difference method
dc.subjectDelay differential equation
dc.titleNumerical method for a singularly perturbed convection-diffusion problem with delay
dc.typeArticle

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