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2012 Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method
A. H. Bhrawy, M. M. Tharwat, A. Al-Fhaid
Abstr. Appl. Anal. 2012: 1-13 (2012). DOI: 10.1155/2012/925134

Abstract

The eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity are computed using the sinc-Gaussian method. The error analysis of this method for solving discontinuous regular Dirac system is discussed. It shows that the error decays exponentially in terms of the number of involved samples. Therefore, the accuracy of the new method is higher than the classical sinc-method. Numerical results indicating the high accuracy and effectiveness of these algorithms are presented. Comparisons with the classical sinc-method are given.

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A. H. Bhrawy. M. M. Tharwat. A. Al-Fhaid. "Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method." Abstr. Appl. Anal. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/925134

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1250.65135
MathSciNet: MR2955025
Digital Object Identifier: 10.1155/2012/925134

Rights: Copyright © 2012 Hindawi

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