Computing eigenvalues of periodic sturm-liouville problems using shooting technique and direct integration method

DOI10.1080/00207169808804682zbMath0913.65073OpenAlexW2079666162MaRDI QIDQ4392901

V. Malathi, Bachok B. Taib, Mohamed Bin Suleiman

Publication date: 10 June 1999

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

Full work available at URL: http://psasir.upm.edu.my/id/eprint/51231/1/51231.pdf

zbMATH Keywords

numerical examplesshooting methodSturm-Liouville eigenvalue problemsdirect integration method

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

On the estimations of the small eigenvalues of Sturm-Liouville operators with periodic and antiperiodic boundary conditions ⋮ On the estimations of the small periodic eigenvalues ⋮ On the estimates of periodic eigenvalues of Sturm-Liouville operators with trigonometric polynomial potentials

Cites Work

• Solving nonstiff higher order ODEs directly by the direct integration method
• On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions
• On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
• On shooting algorithm for Sturm-Liouville eigenvalue problems with periodic and semi-periodic boundary conditions
• A Numerical Method for the Inverse Sturm–Liouville Problem
• A numerical method for ocean-acoustic normal modes
• Eigenproblems for Matrices Associated with Periodic Boundary Conditions
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