Collocation method and residual correction using Chebyshev Series

被引：70

作者：

Çelik, I ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 02期

关键词：

collocation method; residual correction; Chebyshev Series;

D O I：

10.1016/j.amc.2005.05.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Chebyshev collocation method has been proposed to solve the linear two-point boundary value problems. Correction of the approximated solution has been obtained using the residual function of the operator equation. The error differential equation, obtained by residual function, has been solved by a Truncated Chebyshev Series (TCS), where the order of the TCS is bigger than the order of the TCS ill the Chebyshev collocation method. The obtained approximate solution for the collocation method has been corrected by the error differential equation. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：910 / 920

页数：11

共 10 条

[1]

BOOR CD, 1973, SIAM J NUMER ANAL, V10, P582, DOI DOI 10.1137/0710052

[2] Approximate calculation of eigenvalues with the method of weighted residuals-collocation method [J].

Çelik, I .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (02) :401-410

[3]

CELIK I, IN PRESS APPL MATH C

[4]

FRANK R, 1976, LECT NOTES MATH, V631

[5]

Koroglu H., 1998, INT J MATH ED SCI TE, V29, P489, DOI DOI 10.1080/0020739980290403

[6] COLLOCATION AND RESIDUAL CORRECTION [J].

OLIVEIRA, FA .

NUMERISCHE MATHEMATIK, 1980, 36 (01) :27-31

[7]

OLIVEIRA FA, 1977, C NUM ANAL C MATH SO, V22, P471

[8] COLLOCATION METHOD FOR BOUNDARY-VALUE PROBLEMS [J].

RUSSELL, RD ;

SHAMPINE, LF .

NUMERISCHE MATHEMATIK, 1972, 19 (01) :1-&

[9]

Sezer M., 1996, Int. J. Math. Educ. Sci. Technol., V27, P607, DOI DOI 10.1080/0020739960270414

[10] APPLICATION OF IMPLICIT RUNGE-KUTTA AND COLLOCATION METHODS TO BOUNDARY-VALUE PROBLEMS [J].

WEISS, R .

MATHEMATICS OF COMPUTATION, 1974, 28 (126) :449-464

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