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
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
- Journal:Computers and Mathematics with Applications
- Summary:The aim of this paper is to develop an efficient numerical treatment for the two-dimensional fractional nonlinear
reaction-diffusion-wave equation with the time-fractional derivative of order α (1 < α < 2). For this purpose, we
employ the alternating direction implicit (ADI) method based on the Crank-Nicolson scheme for the time stepping,
while we apply the Legendre-Galerkin spectral method for the space discretization. The stability and convergence
analysis are rigorously set up. In addition, the proposed method is extended to solve the time-fractional Klein-Gordon
and sine-Gordon models. Numerical experiments are included, which verifies the theoretical predictions. - Co-author:Shimin Guo; Liquan Mei; Ying Li
- Translation or Not:No
- Date of Publication:2017-11-15