A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrodinger equations

被引：23

作者：

Li, Leonard Z. ^{[1
]}

Sun, Hai-Wei ^{[1
]}

Tam, Sik-Chung ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Macau, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2015年 / 187卷

关键词：

Cubic nonlinear Schrodinger equation; Combined compact difference scheme; Alternating direction implicit method; Unconditional stability; Solution pattern; Wave-like motion; CONVECTION-DIFFUSION EQUATIONS; ADI METHOD; DIFFERENCE-SCHEMES; 4TH-ORDER COMPACT; QUANTIZED VORTEX; QUANTUM DYNAMICS; DIMENSIONS; DERIVATION; SYSTEMS;

D O I：

10.1016/j.cpc.2014.10.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Based on the combined compact difference scheme, an alternating direction implicit method is proposed for solving two-dimensional cubic nonlinear Schrodinger equations. The proposed method is sixth-order accurate in space and second-order accurate in time. The linear Fourier analysis method is exploited to study the stability of the proposed method. The efficiency and accuracy of the proposed method are tested numerically. The common solution pattern of the nonlinear Schrodinger equation is also illustrated using relevant examples known in the literature. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：38 / 48

页数：11

共 28 条

[1] Computational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations [J].