A modified difference scheme for periodic and semiperiodic Sturm- Liouville problems

DOI10.1016/0168-9274(95)00067-5zbMath0834.65075OpenAlexW2027924687MaRDI QIDQ1902064

Guido Vanden Berghe, H. E. De Meyer, Marnix van Daele

Publication date: 18 April 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00067-5

zbMATH Keywords

finite difference methodeigenvaluesnumerical experimentsfinite elementlinear multistep methodregular Sturm-Liouville problem

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (9)

On the estimations of the small eigenvalues of Sturm-Liouville operators with periodic and antiperiodic boundary conditions ⋮ Spectral analysis of \(\alpha\)-semi periodic 2-interval Sturm-Liouville problems ⋮ Spectrum of periodic Sturm-Liouville problems involving additional transmission conditions ⋮ Improvement of eigenvalues of Sturm-Liouville problem with \(t\)-periodic boundary conditions ⋮ On the estimations of the small periodic eigenvalues ⋮ On the estimates of periodic eigenvalues of Sturm-Liouville operators with trigonometric polynomial potentials ⋮ A collocation/quadrature-based Sturm-Liouville problem solver ⋮ Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions ⋮ Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method

Cites Work

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• On the error estimation for a mixed type of interpolation
• A modified numerov method for higher sturm-liouville eigenvalues
• Correction of finite difference eigenvalues of periodic Sturm-Liouville problems
• Accurate computation of higher Sturm-Liouville eigenvalues

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