Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 24–30 (Mi vmumm526)  
This article is cited in 11 scientific papers (total in 11 papers)

Mathematics

Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem

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

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (242 kB) Citations (11)
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Abstract: Two approaches are proposed to determine an initial approximation for the coefficients of an expansion of the solution to a Cauchy problem for ordinary differential equations in the form of series in shifted Chebyshev polynomials of the first kind. This approximation is used in an analytical method to solve ordinary differential equations using orthogonal expansions.
Key words: ordinary differential equations, approximate analytical methods of integration, numerical methods of integration, orthogonal expansions, shifted Chebyshev polynomials, Markov quadrature formulas.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00297
Received: 08.11.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 5-6, Pages 211–216
DOI: https://doi.org/10.3103/S0027132212050051
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 24–30; Moscow University Mathematics Bulletin, 67:5-6 (2012), 211–216
Citation in format AMSBIB
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\paper Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 5
\pages 24--30
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\jour Moscow University Mathematics Bulletin
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\issue 5-6
\pages 211--216
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870903414}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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