Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique

We use the derivative sampling theorem (Hermite interpolations) to compute eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity numerically. We closely follow the analysis derived by Levitan and Sargsjan (1975) to establish the needed relati...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2012; no. 1; pp. 1 - 22
Main Authors Tharwat, Mohammed M, Bhrawy, Ali H
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.05.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Classification
Derivatives
Difference and Functional Equations
Discontinuity
Eigenvalues
Errors
Functional Analysis
Interpolation
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Sampling
truncation and amplitude errors
discontinuous boundary value problems
transmission conditions
Hermite interpolations
Dirac systems
sinc methods
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Summary:We use the derivative sampling theorem (Hermite interpolations) to compute eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity numerically. We closely follow the analysis derived by Levitan and Sargsjan (1975) to establish the needed relations. We use recently derived estimates for the truncation and amplitude errors to compute error bounds. Numerical examples, illustrations and comparisons with the sinc methods are exhibited. Mathematical Subject Classification 2010: 34L16; 94A20; 65L15.
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2012-59