Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four

DOI10.1016/j.cam.2013.02.024zbMath1302.65173OpenAlexW2039173502MaRDI QIDQ2448319

Christine Böckmann, Amornrat Rattana

Publication date: 30 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.02.024

zbMATH Keywords

finite difference methodeigenvaluesboundary value methodsNumerov's methodfourth order Sturm-Liouville problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite difference and finite volume methods for ordinary differential equations (65L12) 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

Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points ⋮ Existence of solutions for a sixth-order nonlinear equation ⋮ An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ Spline functions, the biharmonic operator and approximate eigenvalues ⋮ Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients ⋮ An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae ⋮ Numerical algorithms for inverse Sturm-Liouville problems

Uses Software

• SLEUTH

Cites Work

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