Approximate integration of canonical second-order ordinary differential equations by the Chebyshev series method with an error estimation of the solution and its derivative
DOI10.3103/S0027132222040027OpenAlexW4312705976WikidataQ115223422 ScholiaQ115223422MaRDI QIDQ2104404
O. B. Arushanyan, S. F. Zaletkin
Publication date: 7 December 2022
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0027132222040027
polynomial approximationnumerical methodsordinary differential equationserror estimateorthogonal expansionsMarkov quadrature formulasshifted Chebyshev seriesaccuracy controlapproximate analytical methodsautomatic step size control
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for ordinary differential equations (65Lxx)
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- On the computation of approximate solution to ordinary differential equations by the Chebyshev series method and estimation of its error
- On some analytic method for approximate solution of systems of second order ordinary differential equations
- Application of Markov's quadrature in orthogonal expansions
- Application of orthogonal expansions for approximate integration of ordinary differential equations
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