- 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
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
- 发布时间：2025-04-30
- 论文名称：An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
- 发表刊物：Computers and Mathematics with Applications
- 摘要：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. - 合写作者：Shimin Guo; Liquan Mei; Ying Li
- 是否译文：否
- 发表时间：2017-11-15
- 合写作者：Shimin Guo; Liquan Mei; Ying Li