THE 1ST AND 2ND KIND CHEBYSHEV COEFFICIENTS OF THE MOMENTS FOR THE GENERAL ORDER DERIVATIVE ON AN INFINITELY DIFFERENTIABLE FUNCTION

被引：41

作者：

DOHA, EH

机构：

[1] Department of Mathematics, Faculty of Science, Cairo University, Giza

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1994年 / 51卷 / 1-2期

关键词：

CHEBYSHEV POLYNOMIALS; SPECTRAL METHODS; RECURRENCE RELATIONS;

D O I：

10.1080/00207169408804263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Expressions for the first and second kinds Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function in terms of its Chebyshev coefficients are given. Two numerical applications of how to use these expressions for solving ordinary differential equations with polynomial coefficients are described. Comparisons with the results obtained by Lewanowicz optimum algorithm (1976) are noted.

引用

页码：21 / 35

页数：15

共 15 条

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Canuto C., 2012, SPECTRAL METHODS EVO

[2] AN ACCURATE SOLUTION OF PARABOLIC EQUATIONS BY EXPANSION IN ULTRASPHERICAL POLYNOMIALS [J].