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...

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Bibliographic Details
Published in:	SeMA journal Vol. 66; no. 1; pp. 29 - 42
Main Author:	El-Gamel, Mohamed
Format:	Journal Article
Language:	English
Published:	Milan Springer Milan 01.11.2014
Subjects:	Applications of Mathematics Mathematics Mathematics and Statistics 45J05 Collocation Sturm–Liouville 65L60 Sinc function Chebychev
ISSN:	2254-3902, 2281-7875
Online Access:	Get full text
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Summary:	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