Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group \(SL(2,\mathbb R)\)

DOI10.1016/j.cam.2012.05.006zbMath1247.65102OpenAlexW1967831049WikidataQ115359839 ScholiaQ115359839MaRDI QIDQ442750

Chein-Shan Liu

Publication date: 3 August 2012

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.2012.05.006

zbMATH Keywords

eigenvaluenumerical examplescharacteristic equationeigenfunction\(SL(2,\mathbb R)\) Lie-group shooting methodeigenparameter dependent boundary conditionsgeneralized 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 (6)

Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line ⋮ A third-order \(p\)-Laplacian boundary value problem solved by an \(\text{SL}(3, \mathbb R)\) Lie-group shooting method ⋮ A novel simple algorithm for solving the magneto-hemodynamic flow in a semi-porous channel ⋮ Constructing two powerful methods to solve the Thomas-Fermi equation ⋮ Constructing a new geometric numerical integration method to the nonlinear heat transfer equations ⋮ Developing an \(SL(2,\mathbb R)\) Lie-group shooting method for a singular \(\phi\)-Laplacian in a nonlinear ODE

Cites Work

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