In this paper a dissipative exponentially-fitted method for the numerical integration of the
Schrödinger equation and related problems is developed. The method is called dissipative
since is a nonsymmetric multistep method. An application to the the resonance problem of
the radial Schrödinger equation and to other well known related problems indicates that the
new method is more efficient than the corresponding classical dissipative method and other
well known methods. Based on the new method and the method of Raptis and Cash a new …

A dissipative exponentially fitted method is constructed in this paper for the numerical
integration of the Schrödinger equation. We note that the present method is a nonsymmetric
multistep method (dissipative method) An application to the bound-states problem and the
resonance problem of the radial Schrödinger equation indicates that the new method is
more efficient (ie more accurate and more rapid) than the classical dissipative method and
other well-known methods. Based on the new method and the method of Raptis and …