On the computation of approximate solution to ordinary differential equations by the Chebyshev series method and estimation of its error

DOI10.3103/S0027132220050034zbMath1465.65063WikidataQ115223429 ScholiaQ115223429MaRDI QIDQ2027881

S. F. Zaletkin, O. B. Arushanyan

Publication date: 28 May 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

polynomial approximationordinary differential equationserror estimateMarkov quadrature formulasshifted Chebyshev seriesaccuracy controlapproximate analytical methodsautomatic step size control

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (2)

Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body problem ⋮ Approximate integration of canonical second-order ordinary differential equations by the Chebyshev series method with an error estimation of the solution and its derivative

Cites Work

• 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
• 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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