Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation
Joint Authors
Tharwat, M. M.
Bhrawy, Ali H.
Alofi, Abdulaziz
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The eigenvalues of discontinuous Sturm-Liouville problems which contain an eigenparameter appearing linearly in two boundary conditions and an internal point of discontinuity are computed using the derivative sampling theorem and Hermite interpolations methods.
We use recently derived estimates for the truncation and amplitude errors to investigate the error analysis of the proposed methods for computing the eigenvalues of discontinuous Sturm-Liouville problems.
Numerical results indicating the high accuracy and effectiveness of these algorithms are presented.
Moreover, it is shown that the proposed methods are significantly more accurate than those based on the classical sinc method.
American Psychological Association (APA)
Tharwat, M. M.& Bhrawy, Ali H.& Alofi, Abdulaziz. 2013. Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-476502
Modern Language Association (MLA)
Tharwat, M. M.…[et al.]. Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-476502
American Medical Association (AMA)
Tharwat, M. M.& Bhrawy, Ali H.& Alofi, Abdulaziz. Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-476502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476502