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

DOI10.1080/00207160.2012.700112zbMath1255.65144OpenAlexW2112299838MaRDI QIDQ4903486

Ahmet Yildirim, Ali H. Bhrawy, Mohammed M. Tharwat

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.700112

zbMATH Keywords

Dirac systemstransmission conditionssinc methodsdiscontinuous boundary value problemstruncation and amplitude errors

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) 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)

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Cites Work

• Unnamed Item
• Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method
• A modification of the Whittaker-Kotelnikov-Shannon sampling series
• Higher approximation of eigenvalues by the sampling method
• Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions
• Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval
• Sturm-Liouville problems with impulse effects
• Sinc-based computations of eigenvalues of Dirac systems
• Sampling and Eigenvalues of Non-Self-Adjoint Sturm--Liouville Problems
• On computing eigenvalues of second-order linear pencils
• Approximating eigenvalues of discontinuous problems by sampling theorems
• On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems
• Eigenvalues of s-l systems using sampling theory
• Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method
• Bounds for Truncation Error of the Sampling Expansion

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