Numerical treatment of a quasilinear initial value problem with boundary layer

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dc.contributor.authorÇakır, Musa
dc.contributor.authorÇimen, Erkan
dc.contributor.authorAmirali, İlhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2020-04-30T23:19:47Z
dc.date.available2020-04-30T23:19:47Z
dc.date.issued2016
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionCimen, Erkan/0000-0002-7258-192Xen_US
dc.descriptionWOS: 000382333700004en_US
dc.description.abstractThe paper deals with the singularly perturbed quasilinear initial value problem exhibiting initial layer. First the nature of solution of differential problem before presenting method for its numerical solution is discussed. The numerical solution of the problem is performed with the use of a finite-fitted difference scheme on an appropriate piecewise uniform mesh (Shishkin-type mesh). An error analysis shows that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Finally, numerical results supporting the theory are presented.en_US
dc.identifier.doi10.1080/00207160.2015.1076805en_US
dc.identifier.endpage1859en_US
dc.identifier.issn0020-7160
dc.identifier.issn1029-0265
dc.identifier.issue11en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1845en_US
dc.identifier.urihttps://doi.org/10.1080/00207160.2015.1076805
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3849
dc.identifier.volume93en_US
dc.identifier.wosWOS:000382333700004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal Of Computer Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectsingular perturbationen_US
dc.subjectexponentially fitted difference schemeen_US
dc.subjectShishkin meshen_US
dc.subjectinitial layeren_US
dc.subjectuniformly convergenceen_US
dc.titleNumerical treatment of a quasilinear initial value problem with boundary layeren_US
dc.typeArticleen_US

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