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

M.M. Tharwat

Applied Mathematics and Computation, 2015, vol. 262, issue C, 113-127

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].

Keywords: Sampling theory; Dirac systems; Eigenvalue problems with eigenparameter in the boundary conditions; Sinc-Gaussian; Sinc-method; Truncation and amplitude errors (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:113-127

DOI: 10.1016/j.amc.2015.04.017

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