Spatiotemporal pattern formations in stiff reaction-diffusion systems by new time marching methods
作者：
Highlights：
• Formulations of a new class of methods for stiff reaction-diffusion systems.
• Stability analysis and error quantifications using scalar reaction-diffusion equation as model system.
• Validations by the simulations of Turing pattern formations for phase separation process governed by Allen-Cahn equation and Schnakenberg model for reaction kinetics.
• Numerical simulations of spatiotemporal patterns in the electrodeposition process.
摘要
•Formulations of a new class of methods for stiff reaction-diffusion systems.•Stability analysis and error quantifications using scalar reaction-diffusion equation as model system.•Validations by the simulations of Turing pattern formations for phase separation process governed by Allen-Cahn equation and Schnakenberg model for reaction kinetics.•Numerical simulations of spatiotemporal patterns in the electrodeposition process.
论文关键词：Stability analysis,Turing instability,Phase separation,Allen-Cahn equation,Schnakenberg model,Electrodeposition model
论文评审过程：Received 29 July 2021, Revised 22 April 2022, Accepted 3 June 2022, Available online 25 June 2022, Version of Record 25 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127299
