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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Overseas Publishers Association
1998
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51231/ http://psasir.upm.edu.my/id/eprint/51231/1/51231.pdf |
| _version_ | 1848851776036405248 |
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| author | Malathi, V. Suleiman, Mohamed M. Taib, Bachok |
| author_facet | Malathi, V. Suleiman, Mohamed M. Taib, Bachok |
| author_sort | Malathi, V. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:27:33Z |
| format | Article |
| id | upm-51231 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:27:33Z |
| publishDate | 1998 |
| publisher | Overseas Publishers Association |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Malathi, V. Suleiman, Mohamed M. Taib, Bachok Computing eigenvalues of periodic Sturm-Liouville problems using shooting technique and direct integration method |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/51231/ http://psasir.upm.edu.my/id/eprint/51231/ http://psasir.upm.edu.my/id/eprint/51231/ http://psasir.upm.edu.my/id/eprint/51231/1/51231.pdf |