- 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 linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: Numerical simulations of Gordon-type s
- 发布时间：2025-04-30
- 论文名称：A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: Numerical simulations of Gordon-type s
- 发表刊物：Computer Physics Communications
- 摘要：In this paper, we construct a novel linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed
-order time-space fractional nonlinear reaction-diffusion-wave equation. By using Gauss-Legendre quadrature
rule to discretize the distributed integral terms in both the spatial and temporal directions, we first approximate the
original distributed-order fractional problem by the multi-term time-space fractional differential equation. Then, we
employ the finite difference method for the discretization of the multi-term Caputo fractional derivatives and apply the
Legendre-Galerkin spectral method for the spatial approximation. The main advantage of the proposed scheme is that
the implementation of the iterative method is avoided for the nonlinear term in the fractional problem. Additionally,
numerical experiments are conducted to validate the accuracy and stability of the scheme. Our approach is showcased
by solving several three-dimensional Gordon-type models of practical interest, including the fractional versions
of sine-, sinh-, and Klein-Gordon equations, together with the numerical simulations of the collisions of the Gordontype
solitons. The simulation results can provide a deeper understanding of the complicated nonlinear behaviors of
the 3D Gordon-type solitons. - 合写作者：S. Guo, L. Mei, Z. Zhang, C. Li, M. Li, Y. Wang
- 卷号：252(107144)
- 是否译文：否
- 发表时间：2020-04-30
- 合写作者：S. Guo, L. Mei, Z. Zhang, C. Li, M. Li, Y. Wang