Approximation of eigenvalues of Dirac systems with eigenparameter in all boundary conditions by sinc-Gaussian method

Abstract

In the present paper we apply a sinc-Gaussian technique to compute approximate values of the eigenvalues of Dirac systems and Dirac systems with eigenvalue parameter in one or two boundary conditions. The error of this method decays exponentially in terms of the number of involved samples. Therefore the accuracy of the new technique is higher than the classical sinc-method. Numerical worked examples with tables and illustrative figures are given at the end of the paper showing that this method gives us better results in comparison with the classical sinc-method in Annaby and Tharwat (2007, 2012) [5,6].