An accurate exponentially fitted explicit four-step method for the numerical solution of the radial Schrodinger equation

We present here an accurate exponentially fitted explicit four-step method for the numerical integration of the one-dimensional Schrodinger equation. The formula considered contains free parameters which are defined in order to integrate exponential functions. We note that this is the first explicit four-step exponentially fitted method in the literature. Numerical results also indicate that the new method is much more accurate than other well-known methods.