Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis

Abstract

In this paper, we apply a regularized sinc method to compute the eigenvalues of a discontinuous regular Dirac system with transmission conditions at the point of discontinuity. The regularized technique allows us to insert some parameters to the well-known sinc method, strengthening the existing technique, and to avoid the aliasing error. The error analysis is established considering both the truncation and amplitude errors associated with the sampling theorem. Numerical examples together with tables and illustrative figures are given.

Keywords:

• sinc methods
• Dirac systems
• transmission conditions
• discontinuous boundary value problems
• truncation and amplitude errors

2010 AMS Subject Classifications::

• 34L16
• 94A20
• 65L15

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Acknowledgements

The authors are very grateful to the referees for carefully reading the paper and for their comments and suggestions which have improved the paper.

Additional information

Notes on contributors

A. Yildirim

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