An iterative solution to the second order eigenvalue equation with periodic boundary conditions

A procedure for determining the ground state eigenvalue and eigenfunction of the Sturm-Liouville equation with periodic boundary conditions has been developed. This procedure is based on Picard's method, which, through the use of Chebyshev polynomials, provides for an efficient computational sc...

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Bibliographic Details
Published in:Journal of computational physics 1973-01, Vol.12 (2), p.171-178
Main Authors: Boyko, E.R., Gilbert, B.J., Puon, S.H.
Format: Article
Language:English
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Summary:A procedure for determining the ground state eigenvalue and eigenfunction of the Sturm-Liouville equation with periodic boundary conditions has been developed. This procedure is based on Picard's method, which, through the use of Chebyshev polynomials, provides for an efficient computational scheme.
ISSN:0021-9991
1090-2716
DOI:10.1016/S0021-9991(73)80008-7