Abstract
Two exponentially fitted two-derivative Runge–Kutta pairs for the numerical integration of the Schrodinger equation are presented in this paper. The asymptotic expressions of the local errors for large energies are given. The numerical results in the integration of the radial Schrodinger equation with the Woods–Saxon potential and the Lennard-Jones potential show the high efficiency of our new methods when compared with some famous optimized codes in the literature.
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