A family of trigonometrically-fitted symmetric methods for the efficient solution of the Schrodinger equation and related problems

摘要

In this paper a family of trigonometrically-fitted symmetric ten-step methods for the efficient solution of the Schrodinger equation and related problems is presented. Construction and stability analysis of the new methods is described. Numerical results obtained for the resonance problem of the one-dimensional Schrodinger equation show the efficiency of the new methods when they are compared with known methods in the literature.