A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients

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dc.authorid0000-0003-3901-9641en_US
dc.contributor.authorToprakseven, Şuayip
dc.date.accessioned2021-06-09T12:57:45Z
dc.date.available2021-06-09T12:57:45Z
dc.date.issued2021
dc.departmentAÇÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractIn this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L1 discretization in time and a weak Galerkin finite element method on uniform mesh in space. Both continuous and discrete time weak Galerkin finite element method are considered and analyzed. The stability of the discrete time scheme is proved. The error estimates for both schemes are given. Finally, we give some numerical experiments to show the efficiency of the proposed method.
dc.identifier.citationToprakseven, Ş. (2021). A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients. Applied Numerical Mathematics.168, 1-12.en_US
dc.identifier.doi10.1016/j.apnum.2021.05.021
dc.identifier.endpage12en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11494/3215
dc.identifier.volume168en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorToprakseven, Şuayip
dc.language.isoenen_US
dc.publisherElsevier BVen_US
dc.relation.ispartofApplied Numerical Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConvergenceen_US
dc.subjectNumerical experimentsen_US
dc.subjectStabilityen_US
dc.subjectThe time-fractional diffusionen_US
dc.subjectWeak Galerkin finite-element methoden_US
dc.titleA weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficientsen_US
dc.typeArticle

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