Yeganeh, SomayehMokhtari, RezaHesthaven, Jan S.2021-10-092021-10-092021-10-092020-12-0110.1007/s42967-020-00065-7https://infoscience.epfl.ch/handle/20.500.14299/181946WOS:000701869100007For two-dimensional (2D) time fractional diffusion equations, we construct a numerical method based on a local discontinuous Galerkin (LDG) method in space and a finite difference scheme in time. We investigate the numerical stability and convergence of the method for both rectangular and triangular meshes and show that the method is unconditionally stable. Numerical results indicate the effectiveness and accuracy of the method and confirm the analysis.Mathematics, AppliedMathematicstwo-dimensional (2d) time fractional diffusion equationlocal discontinuous galerkin method (ldg)numerical stabilityconvergence analysis65m6065m12finite-difference methodnumerical approximationspectral methodelement-methodsubdiffusionsuperconvergenceschemeA Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equationstext::journal::journal article::research article