Abstract
A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems is developed in this paper. This new modified method is based on the classical Runge–Kutta method of algebraic order four. The numerical results indicate that this new method is more efficient for the numerical solution of the Schrödinger equation and related problems than the well known classical Runge–Kutta method of algebraic order four.
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