Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm–Liouville problems

In this paper, an efficient technique based on the Chebyshev spectral collocation method for computing the eigenvalues of fourth-order Sturm–Liouville boundary value problems is proposed. The excellent performance of this scheme is illustrated through four examples. Numerical results and comparison...

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Vydáno v:Applied mathematical modelling Ročník 37; číslo 7; s. 4634 - 4642
Hlavní autoři: Saleh Taher, A.H., Malek, A., Momeni-Masuleh, S.H.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.04.2013
Témata:
Boundary value problems
Chebyshev approximation
Chebyshev differentiation matrix
Computational efficiency
Eigenvalues
Fourth-order Sturm–Liouville problems
Mathematical analysis
Mathematical models
Matrices (mathematics)
Spectra
Spectral-collocation method
Eigenvalues
Spectral-collocation method
Fourth-order Sturm–Liouville problems
Chebyshev differentiation matrix
ISSN:0307-904X
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Shrnutí:In this paper, an efficient technique based on the Chebyshev spectral collocation method for computing the eigenvalues of fourth-order Sturm–Liouville boundary value problems is proposed. The excellent performance of this scheme is illustrated through four examples. Numerical results and comparison with other methods are presented.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0307-904X
DOI:10.1016/j.apm.2012.09.062