Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 5, Pages 58–61 (Mi vmumm98)  
This article is cited in 3 scientific papers (total in 3 papers)

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Solvability of a system of equations for the Fourier-Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method

O. B. Arushanyan, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (306 kB) Citations (3)
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Abstract: A solvability theorem for a system of equations with respect to approximate values of Fourier–Chebyshev coefficients is formulated. This theorem is a theoretical substantiation for the numerical solution of ordinary differential equations using Chebyshev series.
Key words: ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev series, Markov quadrature formulas.
Received: 07.02.2017
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 5, Pages 213–216
DOI: https://doi.org/10.3103/S0027132217050072
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, S. F. Zaletkin, “Solvability of a system of equations for the Fourier-Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5, 58–61; Moscow University Mathematics Bulletin, 72:5 (2017), 213–216
Citation in format AMSBIB
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\paper Solvability of a system of equations for the Fourier-Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method
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\issue 5
\pages 58--61
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :28
    References:29
    First page:3
     
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