title: A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schrödinger equation.
abstract: A new Runge-Kutta-Nyström method, with phase-lag and amplification error of order infinity, for the numerical solution of the Schrödinger equation is developed in this paper. The new method is based on the Runge-Kutta-Nyström method with fourth algebraic order, developed by Dormand, El-Mikkawy and Prince. Numerical illustrations indicate that the new method is much more efficient than other methods derived for the same purpose.
authors.affiliation: Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, Tripolis, Greece. dimfpap@gmail.com
authors.forename: D F
authors.initials: DF
authors.lastname: Papadopoulos
authors.forename: Z A
authors.initials: ZA
authors.lastname: Anastassi
authors.forename: T E
authors.initials: TE
authors.lastname: Simos
mesh_terms: D008956:Models, Chemical; D009716:Numerical Analysis, Computer-Assisted