High-order finite element methods for time-fractional partial differential equations |
| |
| Authors: | Yingjun Jiang Jingtang Ma |
| |
| Institution: | a Department of Mathematics and Scientific Computing, Changsha University of Science and Technology, Changsha, 410076, PR Chinab School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, PR China |
| |
| Abstract: | The aim of this paper is to develop high-order methods for solving time-fractional partial differential equations. The proposed high-order method is based on high-order finite element method for space and finite difference method for time. Optimal convergence rate O((Δt)2−α+N−r) is proved for the (r−1)th-order finite element method (r≥2). |
| |
| Keywords: | 65M60 65M12 65M06 35S10 65R20 |
| 本文献已被 ScienceDirect 等数据库收录！ |
