Justification of an approach to application of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations

DOI10.3103/S0027132218030051zbMath1409.65041OpenAlexW2876645913MaRDI QIDQ1791620

O. B. Arushanyan, S. F. Zaletkin

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.3103/s0027132218030051

zbMATH Keywords

second-order ordinary differential equationsChebyshev seriesMarkov quadrature

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

On some analytic method for approximate solution of systems of second order ordinary differential equations ⋮ 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

• Unnamed Item
• Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
• Application of Markov's quadrature in orthogonal expansions
• Application of orthogonal expansions for approximate integration of ordinary differential equations

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