Exponentially fitted two-step hybrid methods for the resonant state of the Schrodinger equation

摘要

A family of exponentially fitted two-step hybrid methods for the numerical integration of the Schrodinger equation is investigated. The asymptotic expressions of the local errors for large energies are presented. The stability of the new methods is analyzed. Numerical results are reported for the widely used Woods-Saxon potential to show the efficiency of the new methods. The error analysis is clearly tested by the resonance problem.