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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\yr 2017
\issue 5
\pages 58--61
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\vol 72
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  • https://www.mathnet.ru/eng/vmumm/y2017/i5/p58
    • This publication is cited in the following 3 articles:
    1. Jin Wen, Shan‐Shan Wang, Zhuan‐Xia Liu, “Fast spectral solver for the inversion of boundary data problem of Poisson equation in a doubly connected domain”, Math Methods in App Sciences, 47:5 (2024), 3457  crossref
    2. O. B. Arushanyan, S. F. Zaletkin, “Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body problem”, Moscow University Mathematics Bulletin, 76:3 (2021), 118–122  mathnet  crossref  mathscinet  zmath  isi
    3. O. B. Arushanyan, S. F. Zaletkin, “On the computation of approximate solution to ordinary differential equations by the Chebyshev series method and estimation of its error”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 75:5 (2020), 204–208  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :37
    References:39
    First page:3
     
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