Computation of the eigenelements of singular sturm-liouville problems

DOI10.1080/00207160108805130zbMath0991.65066OpenAlexW2027355654MaRDI QIDQ2776791

Mohamed A. El-Gebeily

Publication date: 6 March 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805130

zbMATH Keywords

convergenceGalerkin methodeigenvalueseigenfunctionsSturm-Liouville problemssingular differential equationslimit pointlimit circlesingular Sturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) 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)

Cites Work

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• Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
• Nonlinear ordinary differential equations in transport processes
• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• Discrete and continuous boundary problems
• Optimal Error Estimates for the Finite Element Spectral Approximation of Noncompact Operators
• Ritz–Galerkin Methods for Singular Boundary Value Problems
• A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems

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