High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application (I)
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摘要
In this paper, we develop a new numerical algorithm for solving the Riesz tempered space fractional diffusion equation. The stability and convergence of the numerical scheme are discussed via the technique of matrix analysis. Finally, numerical experiments are performed to confirm the effectiveness of our numerical algorithm.
论文关键词：Normalized Riesz tempered derivative,(2,2) Padé approximation,Normalized Riemann–Liouville tempered derivative
论文评审过程：Received 18 October 2017, Revised 4 February 2018, Accepted 9 February 2018, Available online 2 March 2018, Version of Record 2 March 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.02.023
