A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity

Yihong Wang and Jianxiong Cao

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: In this paper, we first propose a tailored finite point method (TFPM) for solving time fractional subdiffusion problems with anisotropic and discontinuous diffusivity. This numerical scheme can perfectly capture the rapid transition of the solutions which contain sharp interface layers even with coarse meshes. Second, the accuracy and stability of the proposed scheme are strictly analyzed. Finally, some numerical examples are provided to show the accuracy and reliability of this new scheme.

Keywords: Subdiffusion; Anisotropic; Discontinuous; Tailored finite point method (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300320308602

DOI: 10.1016/j.amc.2020.125907

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