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

DOI10.3103/S0027132219030057zbMath1450.34013OpenAlexW2960138127MaRDI QIDQ2287143

S. F. Zaletkin, O. B. Arushanyan

Publication date: 23 January 2020

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

Full work available at URL: https://doi.org/10.3103/s0027132219030057

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (1)

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

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• Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
• Approximate solution of ordinary differential equations using Chebyshev series
• On calculation of Chebyshev series coefficients for the solutions to ordinary differential equations
• Justification of an approach to application of orthogonal expansions for approximate integration of canonical 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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