Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Eigenvalue problems with eigenparameter appearing in the boundary conditions usually have complicated characteristic determinant where zeros cannot be explicitly computed.
In this paper, we use the derivative sampling theorem “Hermite interpolations” to compute approximate values of the eigenvalues of Sturm-Liouville problems with eigenvalue parameter in one or two boundary conditions.
We use recently derived estimates for the truncation and amplitude errors to compute error bounds.
Also, using computable error bounds, we obtain eigenvalue enclosures.
Also numerical examples, which are given at the end of the paper, give comparisons with the classical sinc method and explain that the Hermite interpolations method gives remarkably better results.
American Psychological Association (APA)
Tharwat, M. M.& al-Harbi, S. M.. 2013. Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-470020
Modern Language Association (MLA)
Tharwat, M. M.& al-Harbi, S. M.. Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-470020
American Medical Association (AMA)
Tharwat, M. M.& al-Harbi, S. M.. Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-470020
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470020