Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval

DOI10.1016/j.amc.2006.11.082zbMath1124.65066arXivmath/0612261OpenAlexW2005007370MaRDI QIDQ2372054

Bilal Chanane

Publication date: 10 July 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612261

zbMATH Keywords

numerical exampleseigenvalueserror boundSturm-Liouville problemtwo-point boundary value problemdiscontinuity conditionWhittaker-Shannon-Kotel'nikov theoremShannon's sampling theoryregularised sampling method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Error bounds for numerical methods for ordinary differential equations (65L70) 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 (13)

Regular approximation of singular Sturm-Liouville problems with transmission conditions ⋮ Sturm-Liouville problems with impulse effects ⋮ Dependence of eigenvalues of Sturm- Liouville problems with interface conditions ⋮ A generalized discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter ⋮ Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method ⋮ Computation of eigenvalues of discontinuous Dirac system using Hermite interpolation technique ⋮ Dirac system with discontinuities at two points ⋮ Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions ⋮ Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis ⋮ Computing eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions using Hermite approximation ⋮ Accurate solutions of fourth order Sturm-Liouville problems ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods ⋮ Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and interface conditions

Cites Work

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• On Sturm-Liouville operators with discontinuity conditions inside an interval
• High order approximations of the eigenvalues of regular Sturm-Liouville problems
• High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions
• 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

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