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

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 Sc...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 4; pp. 49 - 53
Main Author 张荣培
Format Journal Article
LanguageEnglish
Published 01.04.2012
Subjects
Algorithms
Diffusion
Discretization
Evolutionary
Mathematical analysis
Mathematical models
Nonlinear equations
Nonlinearity
Schroedinger equation
三维空间
因子
离散格式
紧凑型
隐式
非线性发展方程
非线性扩散方程
非线性方程组
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/4/040205

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Summary: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.
Bibliography:Zhang Rong-Pei（School of Sciences, Liaoning ShiHua University, Fushun 113001, China）
compact implicit integration factor method, finite difference, nonlinear Schrodinger equa-tion, complex Ginzburg Landau equation
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.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/4/040205