梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
A novel alternating-direction implicit spectral Galerkin method for amulti-term time-space fractional diffusion equation in three dimensions
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:A novel alternating-direction implicit spectral Galerkin method for amulti-term time-space fractional diffusion equation in three dimensions
- Journal:Numerical Algorithms
- Summary: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) - Co-author:Ying Wang, Fawang Liu, Liquan Mei, Vo V. Anh
- Volume:86
- Translation or Not:No
- Date of Publication:2021-03-12