A pseudospectral method for the one-dimensional fractional Laplacian on R

作者：

Highlights：

• The fractional Laplacian can be computed numerically by a pseudospectral method.

• Mapping the real line into an interval and applying a Fourier expansion works well.

• The rational Chebyshev functions are a good basis choice.

摘要

•The fractional Laplacian can be computed numerically by a pseudospectral method.•Mapping the real line into an interval and applying a Fourier expansion works well.•The rational Chebyshev functions are a good basis choice.

论文关键词：Fractional Laplacian,Pseudospectral methods,Rational Chebyshev functions,Nonlocal Fisher’s equation,Accelerating fronts

论文评审过程：Received 28 May 2019, Revised 2 June 2020, Accepted 26 July 2020, Available online 8 September 2020, Version of Record 8 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125577