Exponentially fitted Runge-Kutta methods for the numerical solution of the Schrodinger equation and related problems

摘要

Exponentially fitted Runge-Kutta methods for the numerical integration of the radial Schrodinger equation or systems of equations of the Schrodinger type and for the numerical solution of other related initial-value problems with periodic or oscillating solutions are developed in this paper. Numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods.