A semi-discrete higher order compact scheme for the unsteady two-dimensional Schrodinger equation

被引：34

作者：

Kalita, Jiten C. ^{[1
]}

Chhabra, Puneet

Kumar, Sudhanshu

机构：

[1] Indian Inst Technol, Dept Math, Gauhati 781039, Assam, India

[2] Indian Inst Technol, Dept Engn Mech, Gauhati 781039, Assam, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 197卷 / 01期

关键词：

Schrodinger equation; HOC; high accuracy; implicit;

D O I：

10.1016/j.cam.2005.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, an implicit semi-discrete higher order compact (HOC) scheme, with an averaged time discretization, has been presented for the numerical solution of unsteady two-dimensional (2D) Schrodinger equation. The scheme is second order accurate in time and fourth order accurate in space. The results of numerical experiments are presented, and are compared with analytical solutions and well established numerical results of some other finite difference schemes. In all cases, the present scheme produces highly accurate results with much better computational efficiency. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：141 / 149

页数：9

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