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

作者：

Highlights：

• This is the first attempt to construct tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity.

• The most distinguished feature of this new scheme is that it not only can ensure high accuracy and stability for solving subdiffusion equations with high anisotropic diffusivity but also can efficiently resolve the high gradients near the side internal.

• The unique solvability and unconditional stability of proposed scheme are strictly proved.

摘要

•This is the first attempt to construct tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity.•The most distinguished feature of this new scheme is that it not only can ensure high accuracy and stability for solving subdiffusion equations with high anisotropic diffusivity but also can efficiently resolve the high gradients near the side internal.•The unique solvability and unconditional stability of proposed scheme are strictly proved.

论文关键词：Subdiffusion,Anisotropic,Discontinuous,Tailored finite point method

论文评审过程：Received 9 April 2020, Revised 23 August 2020, Accepted 13 December 2020, Available online 25 February 2021, Version of Record 25 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125907