A family of fifth algebraic order trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrodinger equation

摘要

A family of trigonometrically fitted Runge-Kutta methods for the numerical integration of the radial Schrodinger equation is developed. Theoretical and numerical results obtained for the radial Schrodinger equation and for the well known Woods-Saxon potential and for the coupled differential equations of the Schrodinger type show the efficiency of the new method. (c) 2005 Elsevier B.V. All rights reserved.