Exponentially-Fitted Multiderivative Methods for the Numerical Solution of the Schr?dinger Equation

摘要

In this paper exponentially fitted multiderivative methods are developed for the numerical solution of the one-dimensional Schrodinger equation. The methods are called multiderivative since uses derivatives of order two and four. An application to the the resonance problem of the radial Schrodinger equation indicates that the new method is more efficient than other similar well known methods of the literature.