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

Authors
Avdelas, G Konguetsof, A Simos, TE
Citation
G. Avdelas et al., A generalization of Numerov's method for the numerical solution of the Schrodinger equation in two dimensions, COMPUT CHEM, 24(5), 2000, pp. 577-584
Citations number
23
Categorie Soggetti
Chemistry
Journal title
COMPUTERS & CHEMISTRY
ISSN journal
00978485 → ACNP
Volume
24
Issue
5
Year of publication
2000
Pages
577 - 584
Database
ISI
SICI code
0097-8485(200007)24:5<577:AGONMF>2.0.ZU;2-M
Abstract
In this paper generalizations of the well known Numerov's method are obtain ed. The local truncation errors of the new methods are presented and the re sult of the application of the new methods to a two-dimensional Schrodinger equation in an equal space discretization is presented. Numerical illustra tions show the efficiency of the new methods compared with the known five-p oint formula in two coulombic potentials. (C) 2000 Elsevier Science Ltd. Al l rights reserved.