scientific article

zbMath1212.65274MaRDI QIDQ3578696

S. F. Zaletkin

Publication date: 20 July 2010

Full work available at URL: http://mathnet.ru/eng/mm/v22/i1/p69

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Fourier seriesChebyshev's orthogonal polynomials

Mathematics Subject Classification ID

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

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The use of Chebyshev series for approximate analytic solution of ordinary differential equations ⋮ Приближенное интегрирование обыкновенных дифференциальных уравнений методом рядов Чебышeва с контролем точности ⋮ Justification of an approach to application of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations ⋮ 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 ⋮ Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions ⋮ On an approach to integration of ordinary differential equations with the use of series

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