Trigonometrically Fitted Two Step Hybrid Methods for the Numerical Solution of the Schrodinger Equation

摘要

In this work we consider trigonometrically fitted two step hybrid methods for the numerical solution of second-order initial value problems. We follow the approach of Simos and construct modified trigonometrically fitted methods. We shall apply our new methods to the computation of the eigenvalues of the Schrodinger equation.