The use of Chebyshev series for approximate analytic solution of ordinary differential equations

DOI10.3103/S0027132216050089zbMath1370.34025MaRDI QIDQ2364171

S. F. Zaletkin, O. B. Arushanyan

Publication date: 18 July 2017

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

zbMATH Keywords

Cauchy problemsChebyshev seriesMarkov quadrature formulas

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 (3)

Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body 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

Cites Work

• Unnamed Item
• Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
• On calculation of Chebyshev series coefficients for the solutions to ordinary differential equations
• An approximate method for integration of ordinary differential equations
• Application of orthogonal expansions for approximate integration of ordinary differential equations

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