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Numerical solution for a sub-diffusion equation with a smooth kernel - MaRDI portal

Numerical solution for a sub-diffusion equation with a smooth kernel (Q2271962)

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Numerical solution for a sub-diffusion equation with a smooth kernel
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    Numerical solution for a sub-diffusion equation with a smooth kernel (English)
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    5 August 2009
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    The author discusses the numerical solution of a sub-diffusion equation with a smooth kernel. He formulates and analyzes the time discontinuous Galerkin (TDG) scheme combined with the standard finite element spatial discretization for solving the fractional sub-diffusion equation with a memory term of positive type. He introduces notations, defines his TDG scheme and provides stability results for the scheme.
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    discontinuous Galerkin method
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    smooth kernel
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    error estimates
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    finite element method
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    fractional sub-diffusion equation
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    stability
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