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dc.contributor.authorKorkmaz, Alperen_US
dc.contributor.authorAkmaz, Hakan Kasımen_US
dc.date.accessioned2020-10-15T06:12:52Z
dc.date.available2020-10-15T06:12:52Z
dc.date.issued2018
dc.identifier.citationKorkmaz, A. & Akmaz, H. K. (2018). Numerical solution of non-conservative linear transport problems. TWMS Journal Of Applied And Engineering Mathematics, 8(1A), 167-177.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2654
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/98-vol8no1a/333
dc.description.abstractIn this study, trigonometric cubic B-spline differential quadrature method is developed for a linear transport problems constructed on the advection-diffusion equation. The weighting coefficients used in the derivative approximations are determined by using the proposed algorithm. Following the space discretization of the advectiondiffusion equation, the resultant ODE system is integrated in time by using Rosenbrock implicit method of order four. The accuracy and validity of the proposed method are indicated by solving some initial boundary value problems (IBVPs) representing fade out of an initial positive pulse. The error between the analytical and the numerical solutions is measured by using the discrete maximum norm.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.subjectAdvection-diffusion equationen_US
dc.subjectTrigonometric cubic B-splineen_US
dc.subjectDifferential quadrature methoden_US
dc.subjectTransporten_US
dc.subjectBrusselator systemen_US
dc.subjectCollocation methoden_US
dc.subjectDispersionen_US
dc.subjectDirichleten_US
dc.subjectAlgorithmen_US
dc.titleNumerical solution of non-conservative linear transport problemsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume8
dc.identifier.issue1A
dc.identifier.startpage167
dc.identifier.endpage177
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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