A dimensional-splitting weak galerkin finite element method for 2D time-fractional diffusion equation

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dc.contributor.authorSeal, Aniruddha
dc.contributor.authorNatesan, Srinivasan
dc.contributor.authorToprakseven, Şuayip
dc.date.accessioned2024-11-21T06:37:13Z
dc.date.available2024-11-21T06:37:13Z
dc.date.issued2024
dc.departmentAÇÜ, Artvin Meslek Yüksekokulu, Muhasebe ve Vergi Uygulamaları Bölümüen_US
dc.description.abstractIn this article, the weak Galerkin finite element method, coupled with an operator-splitting method or known as dimensional-splitting technique, is proposed to solve a class of 2D time-fractional diffusion equation of order beta, 0 < beta < 1 numerically. The time-fractional term is discretized using the well-known non-uniform L1-method, as the integer-order temporal derivatives of the solution blow up at the initial point. For the spatial discretization, a dimensional-splitting weak Galerkin finite element method is used in both x and y directions over a uniform mesh. The stability and the optimal error estimate of the proposed scheme are addressed in the L-2-norm. Finally, we present a numerical experiment to demonstrate the suitability of the stated method.
dc.identifier.doi10.1007/s10915-023-02448-3
dc.identifier.endpage26en_US
dc.identifier.issn0885-7474
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s10915-023-02448-3
dc.identifier.urihttps://hdl.handle.net/11494/4982
dc.identifier.volume98en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Scientific Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectTime-Fractional Diffusionen_US
dc.subjectOperator-Splitting Methoden_US
dc.subjectADI Methoden_US
dc.subjectWeak Galerkin Finite Element Methoden_US
dc.subjectStabilityen_US
dc.subjectError Analysisen_US
dc.subjectNumerical Experimentsen_US
dc.titleA dimensional-splitting weak galerkin finite element method for 2D time-fractional diffusion equationen_US
dc.typeArticle

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