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A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. (English) Zbl 0990.65079

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:

65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
34B05 Linear boundary value problems for ordinary differential equations

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