汇报标题 (Title)：A parareal finite volume method for variable-order time-fractional diffusion equations (变阶功夫分数阶扩散方程的parareal有限体积步骤)
汇报人 (Speaker)：刘欢（上海财经大学）
汇报功夫 (Time)：2023年10月21日(周六) 13:00
汇报地址 (Place)：校本部A203
约请人(Inviter)：潘晓敏
主办部门：理学院数学系
汇报提要：In this talk, we will first introduce the wellposedness and regularity of a variable-order time-fractional diffusion equation, which is often used to model the solute transport in complex porous media where the fractal dimension of the porous media changes over time. Then, we also present a finite volume approximation and provide its stability and convergence analysis in a weighted discrete norm. Furthermore, we develop an efficient parallel-in-time procedure to improve the computational efficiency of the variable-order time-fractional diffusion equations.
