title: A generalization of Numerov's method for the numerical solution of the Schrodinger equation in two dimensions
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.
authors.affiliation: Department of Civil Engineering, School of Engineering, Democritus University of Thrace, Xanthi, Greece.
authors.initials: G
authors.lastname: Avdelas
authors.initials: A
authors.lastname: Konguetsof
authors.initials: TE
authors.lastname: Simos