Numerical solution of the Schrodinger equations via a reliable algorithm

被引：0

作者：

Heidari, Mohammad ^{[1
]}

Borzabadi, Akbar Hashemi ^{[1
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS | 2015年 / 6卷 / 05期

关键词：

Schrodinger equation; finite difference method; numerical algorithm; approximation;

D O I：

10.1504/IJCSM.2015.072967

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a reliable algorithm for solving Schrodinger equations is established. By second-order central difference scheme, the second-order spatial partial derivative of the Schrodinger equations are reduced to a system of first-order ordinary differential equations, that are solved by an efficient algorithm. The comparison of the numerical solution and the exact solution for some test cases shows that the given algorithm is easy and practical for extracting good approximate solutions of Schrodinger equations.

引用

页码：417 / 424

页数：8

共 16 条

[1]

Akram M., 2005, Journal of the Indian Institute of Science, V85, P253

[2]

Akram M., 2007, INT MATH FORUM, V2, P565

[3]

Akram M., 2005, INT J PURE APPL MATH, V24, P351

[4]

Akram M., 2007, INT MATH FORUM, V2, P551