A new two-step hybrid method for the numerical solution of the Schrödinger equation

摘要

With this paper, a new algorithm is developed for the numerical solution of the one-dimensional Schrödinger equation. The new method uses the minimum order of the phase-lag and its derivatives. Error analysis and the numerical results illustrate the efficiency of the new algorithm. Keywords Multistep methods - Explicit methods - Hybrid methods - Phase-lag - Phase-fitted - Schrödinger equation