A numerical method for two-dimensional Schrodinger equation using collocation and radial basis functions

被引：152

作者：

Dehghan, Mehdi ^{[1
]}

Shokri, Ali ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 01期

关键词：

two-dimensional Schrodinger equation; collocation; Radial Basis Function (RBF); Multiquadrics (MQ); Thin Plate Splines (TPS);

D O I：

10.1016/j.camwa.2007.01.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a numerical scheme to solve the two-dimensional (213) time-dependent Schrodinger equation using collocation points and approximating the solution using multiquadrics (MQ) and the Thin Plate Splines (TPS) Radial Basis Function (RBF). The scheme works in a similar fashion as finite-difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：136 / 146

页数：11

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