Please use this identifier to cite or link to this item: 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

Files in This Item:
File SizeFormat 
1-s2.0-S037704270500350X-main.pdf180.78 kBAdobe PDFView/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

27
checked on Sep 13, 2025

WEB OF SCIENCETM
Citations

25
checked on Sep 15, 2025

Page view(s)

100
checked on Sep 8, 2025

Download(s)

212
checked on Sep 8, 2025

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.