Accurate solutions of fourth order Sturm-Liouville problems

DOI10.1016/j.cam.2010.04.023zbMath1191.65106OpenAlexW2068685534MaRDI QIDQ984914

Bilal Chanane

Publication date: 20 July 2010

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.2010.04.023

zbMATH Keywords

eigenvalue problemsregularized sampling methodextended sampling methodfourth order Sturm-Liouville problems

Mathematics Subject Classification ID

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 (19)

Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions ⋮ Fourth order boundary value problems with finite spectrum ⋮ Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points ⋮ Kink dynamics in a nonlinear beam model ⋮ Dependence of eigenvalues of \(2m\)th-order spectral problems ⋮ Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems ⋮ An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems ⋮ Differential quadrature method (DQM) and Boubaker polynomials expansion scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems ⋮ Unnamed Item ⋮ Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four ⋮ The finite spectrum of fourth-order boundary value problems with transmission conditions ⋮ Solution of eigenvalue problems for linear Hamiltonian systems with a nonlinear dependence on the spectral parameter ⋮ A new numerical method for solving high-order fractional eigenvalue problems ⋮ Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ A simple approach for determining the eigenvalues of the fourth-order Sturm-Liouville problem with variable coefficients ⋮ Finite spectrum of \(2 n\)th order boundary value problems ⋮ Spectral parameter power series for fourth-order Sturm-Liouville problems ⋮ On using Bernstein scheme for computation of the eigenvalues of fourth-order Sturm-Liouville problems

Uses Software

• SLEUTH

Cites Work

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• Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method
• Computing the eigenvalues of a class of nonlocal Sturm-Liouville problems
• Eigenvalues of fourth order Sturm-Liouville problems using Fliess series
• General sampling theorem using contour integral.
• Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems
• 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
• Sturm-Liouville problems with parameter dependent potential and boundary conditions
• Eigenvalues of Sturm-Liouville Problems Using Fliess Series
• Algorithm 775
• Inverse problems: recovery of BV coefficients from nodes
• Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
• Inverse nodal problems: finding the potential from nodal lines
• Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method

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