The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems

DOI10.1016/j.amc.2014.01.083zbMath1410.65274OpenAlexW2048860192MaRDI QIDQ1646125

Muhammed I. Syam, Qasem M. Al-Mdallal

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.083

zbMATH Keywords

eigenvaluesChebyshev collocation methodpath following methodsixth-order Sturm-Liouville problem

Mathematics Subject Classification ID

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 (8)

Shifted Legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model ⋮ Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms ⋮ An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems ⋮ Legendre approximation method for computing eigenvalues of fourth order fractional Sturm-Liouville problem ⋮ Solving fractional differential equations by the ultraspherical integration method ⋮ A new numerical method for solving high-order fractional eigenvalue problems ⋮ Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms ⋮ Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm–Liouville problem

Uses Software

• SLEUTH

Cites Work

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