On an approach to integration of ordinary differential equations with the use of series

DOI10.3103/S0027132214060072zbMath1321.65107MaRDI QIDQ2356500

O. B. Arushanyan, S. F. Zaletkin, N. I. Volchenskova

Publication date: 30 July 2015

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

zbMATH Keywords

comparison of methodslinear systemCauchy problemnonlinear systemnumerical examplesRunge-Kutta methodMarkov quadrature formulasAdams methodshifted Chebyshev seriesGear method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions

Cites Work

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• 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 Markov's quadrature in orthogonal expansions
• Application of orthogonal expansions for approximate integration of ordinary differential equations

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