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A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. By choosing the numerical fluxes carefully, we prove that our scheme …