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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Vydáno v:SeMA journal Ročník 66; číslo 1; s. 29 - 42
Hlavní autor: El-Gamel, Mohamed
Médium: Journal Article
Jazyk:angličtina
Vydáno: Milan Springer Milan 01.11.2014
Témata:
Applications of Mathematics
Mathematics
Mathematics and Statistics
45J05
Collocation
Sturm–Liouville
65L60
Sinc function
Chebychev
ISSN:2254-3902, 2281-7875
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Shrnutí: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