ON CALCULATION OF CHEBYSHEV SERIES COEFFICIENTS FOR THE SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

Arushanyan, O. B. ^{[1
]}

Volchenskova, N., I ^{[1
]}

Zaletkin, S. F. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Sci Res Comp Ctr, Moscow 119991, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2011年 / 8卷

关键词：

ordinary differential equations; numerical methods;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Canonical systems of second-order ordinary differential equations are considered. The solution of such a system and its derivatives are expanded in shifted series in Chebyshev polynomials of the first kind. Algorithms to determine initial approximations for the expansion coefficients are described. The resulting approximations are used in the method of approximate analytical integration of ordinary differential equations on the basis of Chebyshev series.

引用

页码：273 / 283

页数：11

共 50 条

[31] Solutions of linear ordinary differential equations with non-singular varying coefficients by using the corrected Fourier series
Zhang, Qing-Hua
Chen, Shuiming
Ma, Jian
Qu, Yuanyuan
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 765 - 776
[32] ASYMPTOTIC SERIES SOLUTIONS FOR NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER
HOPPENST.F
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 25 (03) : 521 - &
[33] On the Computation of Approximate Solution to Ordinary Differential Equations by the Chebyshev Series Method and Estimation of Its Error
Arushanyan, O. B.
Zaletkin, S. F.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2020, 75 (05) : 204 - 208
[34] On the Computation of Approximate Solution to Ordinary Differential Equations by the Chebyshev Series Method and Estimation of Its Error
O. B. Arushanyan
S. F. Zaletkin
Moscow University Mathematics Bulletin, 2020, 75 : 204 - 208
[35] REGULARITY OF HYPERFUNCTION SOLUTIONS OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH REAL ANALYTIC COEFFICIENTS
KOMATSU, H
JOURNAL OF THE FACULTY OF SCIENCE UNIVERSITY OF TOKYO SECTION 1-MATHEMATICS ASTRONOMY PHYSICS CHEMISTRY, 1973, 20 (01): : 107 - 119
[36] m-Sparse solutions of linear ordinary differential equations with polynomial coefficients
Abramov, SA
DISCRETE MATHEMATICS, 2000, 217 (1-3) : 3 - 15
[37] EXPONENTIAL INDEXES OF SOLUTIONS FOR ORDINARY LINEAR-DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
ORLIK, LK
RUTMAN, MA
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1982, (06): : 80 - 81
[38] Application to ordinary differential equations with operator coefficients
Kozlov, V
Maz'ya, V
THEORY OF A HIGHER-ORDER STURM-LIOUVILLE EQUATION, 1997, 1659 : 127 - 136
[39] ON LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS
HEGEMIER, GA
QUARTERLY OF APPLIED MATHEMATICS, 1968, 26 (03) : 389 - &
[40] ON LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
STEVENS, KK
SIAM JOURNAL ON APPLIED MATHEMATICS, 1966, 14 (04) : 782 - &

← 1 2 3 4 5 →