Computation of eigenvalues of discontinuous Dirac system using Hermite interpolation technique

DOI10.1186/1687-1847-2012-59zbMath1294.34080OpenAlexW2118425900WikidataQ59289637 ScholiaQ59289637MaRDI QIDQ2448036

Ali H. Bhrawy, Mohammed M. Tharwat

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-59

zbMATH Keywords

Dirac systemstransmission conditionssinc methodsHermite interpolationsdiscontinuous boundary value problemstruncation and amplitude errors

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Interpolation in approximation theory (41A05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (8)

Incomplete inverse spectral and nodal problems for Dirac operator ⋮ Computation of spectral parameter of discontinuous Dirac systems with a Gaussian multiplier ⋮ Approximation of eigenvalues of boundary value problems ⋮ Spectral expansion for the singular Dirac system with impulsive conditions ⋮ Approximation of eigenvalues of Sturm-Liouville problems by using Hermite interpolation ⋮ Computing eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions using Hermite approximation ⋮ Titchmarsh-Weyl theory for Dirac systems with transmission conditions ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

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