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Fast time-stepping discontinuous Galerkin method for the subdiffusion equation

Fast time-stepping discontinuous Galerkin method for the subdiffusion equation

Abstract The nonlocality of the fractional operator causes numerical difficulties for long time computation for time-fractional evolution equations. This paper develops a high-order fast time-stepping discontinuous Galerkin (DG) finite element method for a time-fractional diffusion equation, which saves storage and computational time. An optimal error estimate of the form $O(N^{-p-1} …