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https://hdl.handle.net/11499/4540| Title: | Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method | Authors: | Yücel, Uğur | Keywords: | Differential quadrature method Eigenvalues Schrödinger equation Sturm-Liouville problem Eigenvalues and eigenfunctions Mathematical models Numerical methods Polynomials Problem solving Differential equations |
Abstract: | The polynomial-based differential quadrature (PDQ) and the Fourier expansion-based differential quadrature (FDQ) methods are applied in this work to compute eigenvalues of the Sturm-Liouville problem. It is demonstrated through some examples that accurate results for the first kth eigenvalues of the problem, where k = 1, 2, 3, ..., can be obtained by using (at least) 2 k mesh points. The results of this work are compared with other published results in the literature. © 2005 Elsevier B.V. All rights reserved. | URI: | https://hdl.handle.net/11499/4540 https://doi.org/10.1016/j.cam.2005.05.008 |
ISSN: | 0377-0427 |
| Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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| File | Size | Format | |
|---|---|---|---|
| 1-s2.0-S037704270500350X-main.pdf | 180.78 kB | Adobe PDF | View/Open |
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