A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schrödinger equation.
A new Runge-Kutta-Nyström method, with phase-lag and amplification error of order infinity, for the numerical solution of the Schrödinger equation is developed in this paper. The new method is based on the Runge-Kutta-Nyström method with fourth algebraic order, developed by Dormand, El-Mikkawy and Prince. Numerical illustrations indicate that the new method is much more efficient than other methods derived for the same purpose.
Papadopoulos
D F
DF
Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, Tripolis, Greece. dimfpap@gmail.com
Anastassi
Z A
ZA
Simos
T E
TE
D008956:Models, Chemical; D009716:Numerical Analysis, Computer-Assisted