Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions

In this paper, we will compare the performance of sinc-collocation method and the Chebychev-collocation method applied to determine the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significa...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SeMA journal Jg. 66; H. 1; S. 29 - 42
1. Verfasser: El-Gamel, Mohamed
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Milan Springer Milan 01.11.2014
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
45J05
Collocation
Sturm–Liouville
65L60
Sinc function
Chebychev
ISSN:2254-3902, 2281-7875
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we will compare the performance of sinc-collocation method and the Chebychev-collocation method applied to determine the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significant computational advantage over the sinc-collocation method.
ISSN:2254-3902
2281-7875
DOI:10.1007/s40324-014-0022-9