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

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 approxim...

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Main Authors: Malathi, V., Suleiman, Mohamed, M. Taib, Bachok
Format: Article
Language:English
Published: Overseas Publishers Association 1998
Online Access:http://psasir.upm.edu.my/id/eprint/51231/1/51231.pdf
http://psasir.upm.edu.my/id/eprint/51231/
http://www.tandfonline.com/doi/abs/10.1080/00207169808804682
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spelling my.upm.eprints.512312017-07-04T03:02:45Z http://psasir.upm.edu.my/id/eprint/51231/ Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method Malathi, V. Suleiman, Mohamed M. Taib, Bachok 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. Overseas Publishers Association 1998 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51231/1/51231.pdf 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 http://www.tandfonline.com/doi/abs/10.1080/00207169808804682 10.1080/00207169808804682
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Malathi, V.
Suleiman, Mohamed
M. Taib, Bachok
spellingShingle Malathi, V.
Suleiman, Mohamed
M. Taib, Bachok
Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method
author_facet Malathi, V.
Suleiman, Mohamed
M. Taib, Bachok
author_sort Malathi, V.
title Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method
title_short Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method
title_full Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method
title_fullStr Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method
title_full_unstemmed Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method
title_sort computing eigenvalues of periodic sturm-liouville problems using shooting technique and direct integration method
publisher Overseas Publishers Association
publishDate 1998
url http://psasir.upm.edu.my/id/eprint/51231/1/51231.pdf
http://psasir.upm.edu.my/id/eprint/51231/
http://www.tandfonline.com/doi/abs/10.1080/00207169808804682
_version_ 1643834894011334656
score 13.188404

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