The so called Numerov process provides an inexpensive, accurate discretization scheme for second-order equations. In this paper the Numerov process has been made applicable to practical cases with typical applications to numerical solution of the coupled Schroedinger Poisson equations. Here the feasibility of the 5-th order method is proved for the longitudinal part of the wave equation.
A fifth-order method for 1D device solution / Buscemi, Fabrizio; Rudan, Massimo; Piccinini, Enrico; Brunetti, Rossella. - ELETTRONICO. - (2014), pp. 147-150. ((Intervento presentato al convegno 17-th Int. Workshop on Computational Eletronics tenutosi a Parigi nel 3-6 giugno 2013.