Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body problem
DOI10.3103/S0027132221030037OpenAlexW3200536838WikidataQ115223426 ScholiaQ115223426MaRDI QIDQ2666934
S. F. Zaletkin, O. B. Arushanyan
Publication date: 23 November 2021
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0027132221030037
polynomial approximationnumerical methodsordinary differential equationserror estimateorthogonal expansionsMarkov quadrature formulasprecision controlshifted Chebyshev seriesapproximate analytical methodsautomatic step size control
Cites Work
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- Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
- Solvability of a system of equations for the Fourier-Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method
- On the computation of approximate solution to ordinary differential equations by the Chebyshev series method and estimation of its error
- The use of Chebyshev series for approximate analytic solution of ordinary differential equations
- Application of Markov's quadrature in orthogonal expansions
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