Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Xiaoping Xie, School of Mathematics, Sichuan University
Inviter:
毛士鹏 副研究员
Title:
Efficient algorithms for time fractional wave and diffusion equations
Time & Venue:
2018.10.29 16:00-17:00 Z311
Abstract:
We consider numerical algorithms of high-order temporal accuracy for two types of fractional partial differential equations, i.e. time fractional wave and diffusion problems. For the time fractional wave problems, we develop two numerical methods, a time-spectral finite element method and a space-time finite element method. For the time fractional diffusion problems, we present a time-stepping finite element method and a discontinuous Galerkin method. Stability and convergence of the algorithms are derived. Numerical experiments are performed to verify the theoretical results. This is joint work with Binjie Li and Hao Luo.