Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method

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...

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Vydáno v:Abstract and Applied Analysis Ročník 2012; číslo 1; s. 1060 - 1072-761
Hlavní autoři: Bhrawy, A. H., Tharwat, M. M., Al-Fhaid, A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Témata:
Accuracy
Algorithms
Boundary value problems
Computation
Decay
Discontinuity
Eigenvalues
Error analysis
Information theory
Mathematical models
Mathematics
Studies
ISSN:1085-3375, 1687-0409
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Shrnutí: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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ISSN:1085-3375
1687-0409
DOI:10.1155/2012/925134