Seal, AniruddhaNatesan, SrinivasanToprakseven, Şuayip2024-11-212024-11-2120240885-7474http://dx.doi.org/10.1007/s10915-023-02448-3https://hdl.handle.net/11494/4982In 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.eninfo:eu-repo/semantics/embargoedAccessTime-Fractional DiffusionOperator-Splitting MethodADI MethodWeak Galerkin Finite Element MethodStabilityError AnalysisNumerical ExperimentsArticle98312610.1007/s10915-023-02448-3Q1Q1