Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods
作者：
Highlights：
• A multidelay implicit integration factor (MIIF) method is constructed for nonlinear fractional multidelay reaction diffusion equations.
• Compared with traditional BDF and CN schemes, the MIIF scheme can obtain smaller temporal error and more regular convergence order.
• Fast Krylov subspace methods are developed to calculate the actions of the Toeplitz matrix exponentials in MIIF.
摘要
•A multidelay implicit integration factor (MIIF) method is constructed for nonlinear fractional multidelay reaction diffusion equations.•Compared with traditional BDF and CN schemes, the MIIF scheme can obtain smaller temporal error and more regular convergence order.•Fast Krylov subspace methods are developed to calculate the actions of the Toeplitz matrix exponentials in MIIF.
论文关键词：Nonlinear delay reaction-diffusion equations,Riesz fractional derivative,Implicit integration factor methods,Weighted and shifted Grünwald–Letnikov difference,Krylov subspace methods
论文评审过程：Received 19 October 2020, Revised 6 April 2021, Accepted 9 May 2021, Available online 26 May 2021, Version of Record 26 May 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126360
