Spline approach to the solution of Sturm - Liouville problem
This study investigates the eigenvalues of regular Sturm-Liouville problem. A quintic spline function is used to develop a numerical method for approximating the eigenvalues of Sturm-Liouville problem. We show that the approximate solutions which are obtained by the present method are better than t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hikari Ltd
2009
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/16815/ |
| _version_ | 1848843067417690112 |
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| author | S., Mehrkanoon Suleiman, Mohamed Abdul Majid, Zanariah S., S Chaharborj |
| author_facet | S., Mehrkanoon Suleiman, Mohamed Abdul Majid, Zanariah S., S Chaharborj |
| author_sort | S., Mehrkanoon |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This study investigates the eigenvalues of regular Sturm-Liouville problem. A quintic spline function is used to develop a numerical method for approximating the eigenvalues of Sturm-Liouville problem. We show that the approximate solutions which are obtained by the present method are better than the conventional methods given in the references. Two problems have been solved. numerical results are tabulated
to illustrate the efficiency and accuracy of the present method. |
| first_indexed | 2025-11-15T08:09:08Z |
| format | Article |
| id | upm-16815 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:09:08Z |
| publishDate | 2009 |
| publisher | Hikari Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-168152013-02-18T05:18:47Z http://psasir.upm.edu.my/id/eprint/16815/ Spline approach to the solution of Sturm - Liouville problem S., Mehrkanoon Suleiman, Mohamed Abdul Majid, Zanariah S., S Chaharborj This study investigates the eigenvalues of regular Sturm-Liouville problem. A quintic spline function is used to develop a numerical method for approximating the eigenvalues of Sturm-Liouville problem. We show that the approximate solutions which are obtained by the present method are better than the conventional methods given in the references. Two problems have been solved. numerical results are tabulated to illustrate the efficiency and accuracy of the present method. Hikari Ltd 2009 Article PeerReviewed S., Mehrkanoon and Suleiman, Mohamed and Abdul Majid, Zanariah and S., S Chaharborj (2009) Spline approach to the solution of Sturm - Liouville problem. International Journal of Contemporary Mathematical Sciences, 4 (12). pp. 577-586. ISSN 1312-7586 Eigenvalues Sturm-Liouville equation Spline theory English |
| spellingShingle | Eigenvalues Sturm-Liouville equation Spline theory S., Mehrkanoon Suleiman, Mohamed Abdul Majid, Zanariah S., S Chaharborj Spline approach to the solution of Sturm - Liouville problem |
| title | Spline approach to the solution of Sturm - Liouville problem |
| title_full | Spline approach to the solution of Sturm - Liouville problem |
| title_fullStr | Spline approach to the solution of Sturm - Liouville problem |
| title_full_unstemmed | Spline approach to the solution of Sturm - Liouville problem |
| title_short | Spline approach to the solution of Sturm - Liouville problem |
| title_sort | spline approach to the solution of sturm - liouville problem |
| topic | Eigenvalues Sturm-Liouville equation Spline theory |
| url | http://psasir.upm.edu.my/id/eprint/16815/ |