A new multiderivative high order hybrid method for the numerical solution of the Schrödinger equation

In this paper we present a new method for the numerical solution of the time-independent Schrödinger equation for one spatial dimension and related problems. A technique, based on the phase-lag and it’s derivatives. We investigate the behavior of the new algorithm and the property of the local truncation error and a comparison with other methods leads to conclusions and remarks about its accuracy and stability. Error analysis and the numerical results illustrate the efficiency of the new algorithm

Keywords:

Phase-lag , Schrodinger equation , Numerical solution , Hybrid methods , Derivative