Numerical approximations of Sturm–Liouville eigenvalues using Chebyshev polynomial expansions method

DOI10.1080/23311835.2015.1045223zbMath1339.65099OpenAlexW1524132187MaRDI QIDQ2813482

Uǧur Yücel

Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2015.1045223

zbMATH Keywords

eigenvaluesboundary value problemsSchrödinger equationSturm-Liouville problemsChebyshev expansions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (1)

Weakly regular Sturm-Liouville problems: a corrected spectral matrix method

Cites Work

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• Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy
• Numerical solutions for convection-diffusion equation using El-Gendi method
• Reprint of ``Variable-step finite difference schemes for the solution of Sturm-Liouville problems
• Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods
• Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems
• Two very accurate and efficient methods for computing eigenvalues of 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
• Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method
• Chebyshev Methods for Ordinary Differential Equations
• An Oscillation Method for Fourth-Order, Selfadjoint, Two-Point Boundary Value Problems with Nonlinear Eigenvalues
• Error Control of Phase-Function Shooting Methods for Sturm-Liouville Problems
• Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited
• Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations
• A Chebyshev series method for the numerical solution of Fredholm integral equations

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