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Zbl 0990.65079
Simos, T.E.
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. (English)
[J] IMA J. Numer. Anal. 21, No.4, 919-931 (2001). ISSN 0272-4979; ISSN 1464-3642/e

Summary: An exponentially-fitted Runge-Kutta method for the numerical integration of the radial Schrödinger equation is developed. Theoretical and numerical results obtained for the well known Woods-Saxon potential show the efficiency of the new method.
MSC 2000:
*65L06 Multistep, Runge-Kutta, and extrapolation methods
65L10 Boundary value problems for ODE (numerical methods)
34L40 Particular ordinary differential operators
34B05 Linear boundary value problems of ODE

Keywords: exponential fitting; Schrödinger equation; Runge-Kutta methods; bound-states problem; resonance problem; numerical results; Woods-Saxon potential

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