Uniform difference method for parameterized singularly perturbed delay differential equations

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dc.authoridAMIRALIYEV, Gabil M./0000-0001-6585-7353
dc.contributor.authorAmiraliyeva, I. G.
dc.contributor.authorAmiraliyev, G. M.
dc.date.accessioned2025-03-23T19:44:07Z
dc.date.available2025-03-23T19:44:07Z
dc.date.issued2009
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper deals with the singularly perturbed initial value problem for quasilinear first-order delay differential equation depending on a parameter. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Some numerical experiments illustrate in practice the result of convergence proved theoretically.
dc.identifier.doi10.1007/s11075-009-9295-y
dc.identifier.endpage521
dc.identifier.issn1017-1398
dc.identifier.issn1572-9265
dc.identifier.issue4
dc.identifier.scopus2-s2.0-76149140500
dc.identifier.scopusqualityQ1
dc.identifier.startpage509
dc.identifier.urihttps://doi.org/10.1007/s11075-009-9295-y
dc.identifier.urihttps://hdl.handle.net/11486/6878
dc.identifier.volume52
dc.identifier.wosWOS:000271736000001
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/openAccess
dc.snmzKA_WOS_20250323
dc.subjectDelay differential equation
dc.subjectParameterized problem
dc.subjectSingular perturbation
dc.subjectPiecewise-uniform mesh
dc.subjectError estimates
dc.titleUniform difference method for parameterized singularly perturbed delay differential equations
dc.typeArticle

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