Trigonometrically fitted two-step Obrechkoff linear methods for the Schrodinger equation

摘要

In this paper, we present a new family of trigonometrically fitted two-step Obrechkoff methods for the numerical solution of one-dimensional Schrodinger equation. Error analysis is carried out and the asymptotic expressions of the local errors for large energies are discussed. The numerical results are reported in the case of the resonance problem which are confirmed by the error analysis.