Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation

Abstract In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due explicit nature new method, not only does it require another as predictor, but can also be considered suitable predictive technique used implicit Periodicity and error terms are studied when applied solve radial Schrödinger equation, considering different energy levels. We show its advantages in accuracy, consistency, convergence comparison other methods same order appearing literature.