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

被引：16
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
收藏
页码：4634 / 4642
页数：9
相关论文
共 32 条
  • [1] [Anonymous], 2000, SIAM
  • [2] [Anonymous], 2005, STURM LIOUVILLE THEO, DOI DOI 10.1090/SURV/121
  • [3] An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
    Attili, B. S.
    Lesnic, D.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 1247 - 1254
  • [4] Bailey P. B., 1978, ACM Transactions on Mathematical Software, V4, P193, DOI 10.1145/355791.355792
  • [5] Bailey P.B., 1991, Results in Mathematics, V20, P391
  • [6] Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels
    Butcher, Eric A.
    Bobrenkov, Oleg A.
    Bueler, Ed
    Nindujarla, Praveen
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2009, 4 (03): : 1 - 12
  • [7] CANUTO C, 1988, SPECTRAL METHODS FUN
  • [8] Canuto C., 2006, SCIENTIF COMPUT, DOI 10.1007/978-3-540-30726-6
  • [9] Approximate computation of eigenvalues with Chebyshev collocation method
    Çelik, I
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 125 - 134
  • [10] Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method
    Çelik, I
    Gokmen, G
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (01) : 285 - 295
1234