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

被引：18

作者：

Taher, A. H. Saleh ^{[1
]}

Malek, A. ^{[1
]}

Momeni-Masuleh, S. H. ^{[2
]}

机构：

[1] Tarbiat Modares Univ, Dept Appl Math, Fac Math Sci, Tehran, Iran

[2] Shahed Univ, Dept Math, Tehran, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 07期

关键词：

Fourth-order Sturm-Liouville problems; Chebyshev differentiation matrix; Spectral-collocation method; Eigenvalues; STABILITY;

D O I：

10.1016/j.apm.2012.09.062

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2012 Published by Elsevier Inc.

引用

页码：4634 / 4642

页数：9

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