The numerical solution of the radial Schrodinger equation via a trigonometrically fitted family of seventh algebraic order Predictor-Corrector methods

In this paper, we develop new seventh order trigonometrically fitted Adams-Bashforth-Moulton predictor-corrector (P-C) algorithms. Our predictor is based on the sixth algebraic order Adams-Bashforth scheme and our corrector on the seventh algebraic order Adams-Moulton scheme. In order to assess the efficiency of our new methods, we contacted appropriate comparisons of our schemes against well known methods and the numerical experimentations demonstrated that our schemes behave more efficiently.