报告题目：A New Linearized Maximum Principle Preserving and Energy Stability Scheme for the Space Fractional Allen-Cahn Equation

报告时间：2022-08-15  14:00 - 15:00

报告人：杨银 教授 湘潭大学

腾讯会议ID：563-221-342

报告入口：https://meeting.tencent.com/dm/A7BjQqeY7Owq

Abstract：In this talk, we present a new linearized two-level second-order scheme for the space fractional Allen-Cahn equation, which is based on the Crank-Nicolson method in time, second-order weighted and shifted Grünwald difference formula in space and Newton linearized technology to deal with nonlinear term. And we only need to solve a linear system at each time level. Then, the unique solvability of the scheme is given. Under the reasonable time step constraint, the discrete maximum principle, energy stability and error analysis are also studied. At last, some numerical experiments show that the proposed method is reasonable and effective.