Approximate calculation of eigenvalues with the method of weighted residuals-collocation method

被引：47

作者：

Çelik, I ^{[1
]}

机构：

[1] Pammukkale Univ, Dept Math, Fac Arts & Sci, TR-20017 Denizli, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 160卷 / 02期

关键词：

eigenvalue problem; collocation method; Chebyshev series;

D O I：

10.1016/j.amc.2003.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, the collocation method of the weight residual methods are investigated for the approximate computation of higher Sturm-Liouville eigenvalues, where trial solution is accepted as the Chebyshev series. The obtained approximate eigenvalues are compared with the previous computational results [ANZIAM J. 42 (2000) C96, Numer. Math. 47 (1985) 289, Numer. Math. 59 (1991) 243, Appl. Numer. Math. 23 (1997) 311, Computing 26 (1981) 123]. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：401 / 410

页数：10

共 7 条

[1] Quadrature errors in finite element eigenvalue computations [J].

Andrew, AL .

ANZIAM JOURNAL, 2000, 42 :136-140

[2] CORRECTION OF NUMEROVS EIGENVALUE ESTIMATES [J].

ANDREW, AL ;

PAINE, JW .

NUMERISCHE MATHEMATIK, 1985, 47 (02) :289-300

[3] ASYMPTOTIC EIGENVALUES OF STURM-LIOUVILLE SYSTEMS [J].

FIX, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 19 (03) :519-&

[4]

Fox L., 1968, CHEBYSHEV POLYNOMIAL

[5] Approximations of Sturm-Liouville eigenvalues using Boundary Value Methods [J].

Ghelardoni, P .

APPLIED NUMERICAL MATHEMATICS, 1997, 23 (03) :311-325

[6] ON THE CORRECTION OF FINITE-DIFFERENCE EIGENVALUE APPROXIMATIONS FOR STURM-LIOUVILLE PROBLEMS [J].

PAINE, JW ;

de Hoog, FR ;

ANDERSSEN, RS .

COMPUTING, 1981, 26 (02) :123-139

[7] ACCURATE COMPUTATION OF HIGHER STURM-LIOUVILLE EIGENVALUES [J].

VANDENBERGHE, G ;

DEMEYER, H .

NUMERISCHE MATHEMATIK, 1991, 59 (03) :243-254

← 1 →