Compact implicit integration factor methods for some complex-valued nonlinear equations  

作　　者：张荣培 

机构地区：[1]School of Sciences,Liaoning ShiHua University,Fushun 113001,China

出　　处：《Chinese Physics B》2012年第4期49-53,共5页中国物理B（英文版）

摘　　要：The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger （NLS） equation and the complex Ginzburg-Landau （GL） equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger （NLS） equation and the complex Ginzburg-Landau （GL） equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.

关 键 词：compact implicit integration factor method finite difference nonlinear Schrodinger equa-tion complex Ginzburg Landau equation 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]