Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 5, Pages 57–60 (Mi vmumm271)  
This article is cited in 1 scientific paper (total in 1 paper)

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Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions

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

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (301 kB) Citations (1)
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Abstract: A method of solving systems of ordinary differential equations is described. This method is based on the approximation of right-hand sides by partial sums of shifted Chebyshev series. The coefficients of the series are determined using Markov quadrature formulas. It is shown that the proposed method is more efficient compared to the Runge–Kutta and Adams methods when solving differential equations with rapidly growing solutions.
Key words: ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev polynomials, Markov quadrature formulas.
Received: 24.09.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 5, Pages 237–240
DOI: https://doi.org/10.3103/S0027132215050113
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, N. I. Volchenskova, S. F. Zaletkin, “Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5, 57–60; Moscow University Mathematics Bulletin, 70:5 (2015), 237–240
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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