- 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 finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of
- 发布时间：2025-04-30
- 论文名称：An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of
- 发表刊物：Computer Physics Communications
- 摘要：This study is devoted to the numerical simulation of vector solitons described by the time-fractional coupled sine-Gordon equations in the sense of Caputo fractional derivative, where the problem is defined on the multidimensional unbounded domains Rd(d=2,3). For this purpose, we employ the Hermite-Galerkin spectral method with scaling factor for the spatial approximation to avoid the errors introduced by the domain truncation, and we apply the finite difference method based on the Crank–Nicolson method for the temporal discretization. Comprehensive numerical studies are carried out to verify the accuracy and the stability of our method, which shows that the method is convergent with (3−max{α1,α2})-order accuracy in time and spectral accuracy in space. Here, αi(1<αi<2,i=1,2) are the orders of the Caputo fractional derivative. In addition, the effect of the Caputo fractional derivative on the evolutions of the vector solitons is numerically studied. Finally, several numerical simulations for both two- and three-dimensional cases of the problem are performed to illustrate the robustness of the method as well as to investigate the collisions of circular and elliptical ring vector solitons.
- 合写作者：S. Guo, L. Mei, Y. Hou, Z. Zhang
- 卷号：237
- 页面范围：110-128
- 是否译文：否
- 发表时间：2019-04-01
- 合写作者：S. Guo, L. Mei, Y. Hou, Z. Zhang