A symmetric finite difference method for computing eigenvalues of Sturm- Liouville problems

DOI10.1016/0898-1221(93)90323-NzbMath0784.65068OpenAlexW2057758309MaRDI QIDQ2367571

M. M. Chawla, Pappur N. Shivakumar

Publication date: 2 September 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90323-n

zbMATH Keywords

convergenceSturm-Liouville eigenvalue problempositive eigenvaluesfive-diagonal generalized matrix eigenvalue problemsymmetric finite difference method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite difference and finite volume methods for ordinary differential equations (65L12) 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 (1)

Higher-order methods for eigenvalues of second-order ordinary differential equations with boundary conditions

Cites Work

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• Some new finite difference methods for computing eigenvalues of two-point boundary-value problems
• A discrete model of a modified burgers' partial differential equation
• A recursive partitioning algorithm for inverting tridiagonal matrices
• On Noumerov's method for computing eigenvalues
• A new fourth order method for computing eigenvalues of two-point boundary value problems

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