A new Runge-Jutta-Nystrom method with phase-lag of order infinity for the numerical solution of the Schrodinger equation
In this paper a new approach for constructing efficient Runge-Kutta-Nystrom methods is introduced. Based on this approach a new Runge-Kutta-Nystrom fourth algebraic order method is developed for the numerical solution of the Schrodinger equation. The new method has phase-lag of order infinity and extended interval of periodicity. Numerical illustrations using the radial Schrodinger equation indicate that the new method is more efficient than older ones.
phase-lag runge-kutta-nystrom methods radial schrodinger equation resonance problems scattering problems phase shift problems oscillating solutions