An Accurate Exponentially-Fitted Four-Step Method for the Numerical Solution of the Radial Schrödinger Equation

Abstract

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

Key Words:

• Schrödinger equation
• Numerov-type methods
• exponentially-fitted methods
• resonance problem