The FD-method for solving Sturm-Liouville problems with special singular differential operator

DOI10.1090/S0025-5718-2012-02634-2zbMath1262.65089arXiv1107.5893MaRDI QIDQ4912011

Ya. V. Klimenko, Volodymyr L. Makarov, Denis V. Dragunov

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5893

zbMATH Keywords

algorithmsnumerical examplesLegendre functionsexponential convergencesingular Sturm-Liouville problemFD-methodcoefficient approximation methodsStenger's formula

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (3)

An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function ⋮ Computing high-index eigenvalues of singular Sturm-Liouville problems ⋮ A Spectral Transform Method for Singular Sturm--Liouville Problems with Applications to Energy Diffusion in Plasma Physics

Uses Software

• SLEIGN2
• UNCMND
• pchip

Cites Work

• Application of the FD-method to the solution of the Sturm-Liouville problem with coefficients of special form
• Exponentially convergent parallel algorithm for nonlinear eigenvalue problems
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
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