Fitted finite difference method for singularly perturbed delay differential equations

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dc.authoridAMIRALIYEV, Gabil M./0000-0001-6585-7353
dc.contributor.authorErdogan, Fevzi
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2025-03-23T19:44:07Z
dc.date.available2025-03-23T19:44:07Z
dc.date.issued2012
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper deals with singularly perturbed initial value problem for linear second-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presented method and compared the computed result with exact solution of the problem.
dc.identifier.doi10.1007/s11075-011-9480-7
dc.identifier.endpage145
dc.identifier.issn1017-1398
dc.identifier.issn1572-9265
dc.identifier.issue1
dc.identifier.scopus2-s2.0-82255162962
dc.identifier.scopusqualityQ1
dc.identifier.startpage131
dc.identifier.urihttps://doi.org/10.1007/s11075-011-9480-7
dc.identifier.urihttps://hdl.handle.net/11486/6877
dc.identifier.volume59
dc.identifier.wosWOS:000297597900008
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofNumerical Algorithms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectDelay differential equation
dc.subjectSingular perturbation
dc.subjectExponentially fitted difference scheme
dc.subjectUniformly convergent
dc.subjectError estimates
dc.titleFitted finite difference method for singularly perturbed delay differential equations
dc.typeArticle

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