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dc.contributor.authorWoldaregay, Mesfin Mekuriaen_US
dc.date.accessioned2024-04-05T16:16:08Z
dc.date.available2024-04-05T16:16:08Z
dc.date.issued2024-04
dc.identifier.citationWoldaregay, M. M. (2024). Fitted computational method for convection dominated diffusion equations with shift arguments. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 801-815.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5969
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1215
dc.description.abstractA time dependent singularly perturbed convection diffusion equation involving shift parameters are considered. The terms containing the shifts are treated using Taylor series approximation up to second order terms. Classical numerical methods developed for solving regular problems fail to give good approximate solution and become unstable while applied for the considered problem. In this paper, numerical scheme is developed using ?-method for semi-discretizing in time derivative; in spatial discrtization fitted operator finite difference method is applied by inducing exponential fitting parameter. To accelerate the convergence of the scheme, Richardson extrapolation technique is applied in spatial discretization. Existence of unique discrete solution is guaranteed by establishing the discrete comparison principle. The proposed scheme is stable for all values of the perturbation parameter. A uniformly convergent solution is obtained by Richardson extrapolation method which provides second order accuracy under some condition. Test examples are considered for validating the theoretical results numerically.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectExponentially fitted schemeen_US
dc.subjectRichardson extrapolationen_US
dc.subjectConvection dominateden_US
dc.subjectUniform convergenceen_US
dc.titleFitted computational method for convection dominated diffusion equations with shift argumentsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume14
dc.identifier.issue2
dc.identifier.startpage801
dc.identifier.endpage815
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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