Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 6, Pages 43–46 (Mi vmumm450)  
This article is cited in 3 scientific papers (total in 3 papers)

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An approximate method for integration of ordinary differential equations

O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (221 kB) Citations (3)
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Abstract: An approximate analytical method of solving a Cauchy problem for normal systems of ordinary differential equations is considered. The method is based on the approximation of the solution by partial sums of shifted Chebyshev series. The coefficients of the series are determined by an iterative process using Markov quadrature formulas.
Key words: ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev polynomials, Markov quadrature formulas.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00096а
Received: 10.02.2013
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 6, Pages 292–294
DOI: https://doi.org/10.3103/S0027132213060065
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “An approximate method for integration of ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6, 43–46; Moscow University Mathematics Bulletin, 68:6 (2013), 292–294
Citation in format AMSBIB
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\paper An approximate method for integration of ordinary differential equations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 6
\pages 43--46
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\jour Moscow University Mathematics Bulletin
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\pages 292--294
\crossref{https://doi.org/10.3103/S0027132213060065}
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    • This publication is cited in the following 3 articles:
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