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. 2000 Jul;24(5):577-84.
doi: 10.1016/s0097-8485(99)00096-0.

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

G Avdelas  1 , A Konguetsof, TE Simos
Affiliations

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

G Avdelas et al. Comput Chem. 2000 Jul.

Abstract

In this paper generalizations of the well known Numerov's method are obtained. The local truncation errors of the new methods are presented and the result of the application of the new methods to a two-dimensional Schrodinger equation in an equal space discretization is presented. Numerical illustrations show the efficiency of the new methods compared with the known five-point formula in two coulombic potentials.

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