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Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method


Citation

Malathi, V. and Suleiman, Mohamed and M. Taib, Bachok (1998) Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method. International Journal of Computer Mathematics, 68 (1-2). pp. 119-132. ISSN 0020-7160; ESSN: 1029-0265

Abstract

This paper deals with computing eigenvalues of periodic Sturm-Liouville (SL) problem by direct integration (DI) method using shooting technique without reducing to the system of first order ODEs. Floquet theory is applied to find a non-trivial solution of SL problems and the eigenvalues are approximated by the application of shooting techniques. Computational advantages are presented comparing the results obtained by the DI method with that of reducing to the system of first order ODEs.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1080/00207169808804682
Publisher: Overseas Publishers Association
Keywords: Direct integration method; Eigenvalues; Shooting technique; Sturm-Liouville problems
Depositing User: Nabilah Mustapa
Date Deposited: 04 Jul 2017 03:02
Last Modified: 04 Jul 2017 03:02
Altmetrics: ttp://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/00207169808804682
URI: http://psasir.upm.edu.my/id/eprint/51231
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