UNIFORM NUMERICAL APPROXIMATION FOR PARAMETER DEPENDENT SINGULARLY PERTURBED PROBLEM WITH INTEGRAL BOUNDARY CONDITION

dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmirali, İlhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2020-04-30T23:46:51Z
dc.date.available2020-04-30T23:46:51Z
dc.date.issued2018
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000441460300026en_US
dc.description.abstractIn this paper, a parameter-uniform numerical method for a parameterized singularly perturbed ordinary differential equation containing integral boundary condition is studied. Asymptotic estimates on the solution and its derivatives are derived. A numerical algorithm based on upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error estimate for the numerical solution is established. Numerical results are presented, which illustrate the theoretical results.en_US
dc.identifier.doi10.18514/MMN.2018.2455en_US
dc.identifier.endpage353en_US
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue1en_US
dc.identifier.startpage337en_US
dc.identifier.urihttps://doi.org/10.18514/MMN.2018.2455
dc.identifier.urihttps://hdl.handle.net/20.500.12684/5306
dc.identifier.volume19en_US
dc.identifier.wosWOS:000441460300026en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Miskolc Inst Mathen_US
dc.relation.ispartofMiskolc Mathematical Notesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectparameterized problemen_US
dc.subjectsingular perturbationen_US
dc.subjectuniform convergenceen_US
dc.subjectfinite difference schemeen_US
dc.subjectShiskin meshen_US
dc.subjectintegral boundary conditionen_US
dc.titleUNIFORM NUMERICAL APPROXIMATION FOR PARAMETER DEPENDENT SINGULARLY PERTURBED PROBLEM WITH INTEGRAL BOUNDARY CONDITIONen_US
dc.typeArticleen_US

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