.png){kind=icon}
返回
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrodinger equation
.png){kind=icon}
PRE
AI
DOI：10.1016/j.cpc.2012.01.006.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this paper, four alternating direction implicit (ADI) schemes are presented for solving two-dimensional cubic nonlinear Schrodinger equations. Firstly, we give a Crank-Nicolson ADI scheme and a linearized ADI scheme both with accuracy O (Delta t(2) + h(2)), with the same method, use fourth-order Pade compact difference approximation for the spatial discretization: two HOC-ADI schemes with accuracy O (Delta t(2) + h(4)) are given. The two linearized ADI schemes apply extrapolation technique to the real coefficient of the nonlinear term to avoid iterating to solve. Unconditionally stable character is verified by linear Fourier analysis. The solution procedure consists of a number of tridiagonal matrix equations which make the computation cost effective. Numerical experiments are conducted to demonstrate the efficiency and accuracy, and linearized ADI schemes show less computational cost. All schemes given in this paper also can be used for two-dimensional linear Schrodinger equations. (c) 2012 Elsevier B.V. All rights reserved.
Keyword:
Cubic nonlinear Schrodinger equation
Alternating direction implicit
High-order compact
Extrapolation technique
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.4
论文数:
1.2W
被引数:
3.7W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏
Numerical studies on the split-step finite difference method for nonlinear Schrodinger equations非线性薛定谔方程的分步有限差分方法的数值研究
PREAI
分享收藏W-band uni-travelling-carrier photodiode module for high-power photonic millimetre-wave generation
PREAI
分享收藏分享收藏分享收藏
查看更多内容