Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension

作者:

Highlights:

• Spectral approximation method for variable coefficient fractional diffusion equation.

• A priori error estimates for the approximation scheme.

• Numerical experiments support the derived theoretical results.

摘要

•Spectral approximation method for variable coefficient fractional diffusion equation.•A priori error estimates for the approximation scheme.•Numerical experiments support the derived theoretical results.

论文关键词:Fractional diffusion equation,Jacobi polynomials,Spectral method

论文评审过程:Received 13 June 2018, Revised 11 December 2018, Accepted 13 May 2019, Available online 19 June 2019, Version of Record 19 June 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.05.017