A generalization of Numerov's method for the numerical solution of the Schrodinger equation in two dimensions

被引：0

作者：

Konguetsof, A ^{[1
]}

Avdelas, G ^{[1
]}

Simos, TE ^{[1
]}

机构：

[1] Democritus Univ Thrace, Sect Math, Dept Civil Engn, Sch Engn, GR-67100 Xanthi, Greece

来源：

INTERNATIONAL CONFERENCE ON PARALLEL AND DISTRIBUTED PROCESSING TECHNIQUES AND APPLICATIONS, VOLS I-V, PROCEEDINGS | 1999年

关键词：

two-dimensional Schrodinger equation; finite differences; Numerov method; Coulombian potential;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper a generalization of the well known Numerov's method is derived. The local truncation error of the new method is presented and the result of the application of the new method to a two dimensional Schrodinger equation in an equal space discetization is obtained. Numerical illustrations show the efficiency of the new method compared with the known 5 point formula in two Coulombian potentials.

引用

页码：259 / 264

页数：6

共 22 条

[1]

Allison A. C., 1970, Journal of Computational Physics, V6, P378, DOI 10.1016/0021-9991(70)90037-9

[2] Embedded methods for the numerical solution of the Schrodinger equation [J].