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Correction of finite difference eigenvalues of periodic Sturm-Liouville problems

Published online by Cambridge University Press:  17 February 2009

Alan L. Andrew
Alan L. Andrew
Affiliation:
Mathematics Department, La Trobe University, Bundoora, Victoria 3083, Australia.
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Abstract

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Computation of eigenvalues of regular Sturm-Liouville problems with periodic or semiperiodic boundary conditions is considered. A simple asymptotic correction technique of Paine, de Hoog and Anderssen is shown to reduce the error in the centred finite difference estimate of the kth eigenvalue obtained with uniform step length h from O(k4h2) to O(kh2). Possible extensions of the results are suggested and the relative advantages of the method are discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 4 , April 1989 , pp. 460 - 469
Copyright
Copyright © Australian Mathematical Society 1989

References

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