The fractional Sturm–Liouville problem—Numerical approximation and application in fractional diffusion

作者：

Highlights：

• A new numerical method for solving a fractional eigenvalue problem has been proposed.

• The approximate eigenfunctions are orthogonal at each step of the proposed method.

• The method is applied in the approximate solution to fractional diffusion problem.

摘要

•A new numerical method for solving a fractional eigenvalue problem has been proposed.•The approximate eigenfunctions are orthogonal at each step of the proposed method.•The method is applied in the approximate solution to fractional diffusion problem.

论文关键词：Fractional Sturm–Liouville problem,Fractional calculus,Numerical solution,Fractional diffusion

论文评审过程：Received 2 June 2016, Revised 7 November 2016, Available online 19 December 2016, Version of Record 9 January 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2016.12.014