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• W2999409968 abstract "In this paper, a fully discrete Local discontinuous Galerkin (LDG) method is discussed for a time-fractional reaction diffusion initial-boundary value problem with discontinuous diffusive coefficient. In this method the well-known L2-1σ scheme on graded meshes is presented to deal with the weak singularity at initial time t=0, while in the spatial direction a LDG method on a uniform mesh is presented to handle the discontinuous coefficient. By the discrete fractional Gronwall inequality, the L2-norm stability and consistency estimate results are derived for the proposed fully discrete LDG method. Numerical experiments are presented to verify the sharpness of the error analysis." @default.
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• W2999409968 date "2020-05-01" @default.
• W2999409968 modified "2023-10-17" @default.
• W2999409968 title "A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient" @default.
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• W2999409968 doi "https://doi.org/10.1016/j.apnum.2019.11.003" @default.
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