报告人：肖爱国（湘潭大学）

邀请人：黄乘明

报告时间：2021年11月5日（星期五）10:00-12:00

报告地点：腾讯会议：661 949 380

报告题目：Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition

报告摘要：In this talk, the background of fractional derivative boundary conditions are introduced simply. A numerical method is proposed to solve the time-space fractional diffusion equation with Robin fractional derivative boundary condition. Under the weak regularity assumptions of solution, we present a numerical scheme based on the L1 method in time discretization on graded mesh and the GL formula for spatial discretization on uniform mesh. And a fast scheme for the considered problem is constructed based on the exponential summation approximation of the singular kernel function, and a detailed analysis of stability and convergence is given. Lastly, the extrapolation method is applied to the space direction to make it reach the second-order accuracy.

报告人简介：肖爱国，现任湘潭大学数学与计算科学学院教授、湖南省级重点实验室主任、中国仿真学会仿真算法专业委员会主任委员、中国数学会计算数学分会委员会常务理事、《数值计算与计算机应用》编委等。研究领域为微分方程数值方法。