- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
A novel alternating-direction implicit spectral Galerkin method for amulti-term time-space fractional diffusion equation in three dimensions
- 发布时间：2025-04-30
- 论文名称：A novel alternating-direction implicit spectral Galerkin method for amulti-term time-space fractional diffusion equation in three dimensions
- 发表刊物：Numerical Algorithms
- 摘要：In this paper, we develop an efficient spectral Galerkin method for the three dimensional (3D) multi-term time-space fractional diffusion equation. Based on the L2-1σ formula for time stepping and the Legendre-Galerkin spectral method for space discretization, a fully discrete numerical scheme is constructed and the stability and convergence analyses are rigorously established. The results show that
the fully discrete scheme is unconditionally stable and has second-order accuracy in time and optimal error estimation in space. In addition, we give the detailed implementation and apply the alternating-direction implicit (ADI) method to reduce the computational complexity. Furthermore, numerical experiments are presented to confirm the theoretical claims. As an application of the proposed method, the fractional Bloch-Torrey model is also solved.
(SCI LT8WF) - 合写作者：Ying Wang, Fawang Liu, Liquan Mei, Vo V. Anh
- 卷号：86
- 是否译文：否
- 发表时间：2021-03-12
- 合写作者：Ying Wang, Fawang Liu, Liquan Mei, Vo V. Anh