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

A. H. Bhrawy | Zendy; M. M. Tharwat | Zendy; A. S. Al-Fhaid | Zendy

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

Author(s) -

A. H. Bhrawy,

M. M. Tharwat,

A. S. Al-Fhaid

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/925134

Subject(s) - sinc function , mathematics , eigenvalues and eigenvectors , gaussian , discontinuity (linguistics) , dirac (video compression format) , numerical analysis , algorithm , point (geometry) , mathematical analysis , geometry , quantum mechanics , physics , neutrino

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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