Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Xiaoping Xie, School of Mathematics, Sichuan University
Inviter:
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.
Appendix：
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