Application of orthogonal expansions for approximate integration of ordinary differential equations

DOI10.3103/S0027132210040078zbMath1304.65165MaRDI QIDQ2513159

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

Publication date: 2 February 2015

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

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (10)

The use of Chebyshev series for approximate analytic solution of ordinary differential equations ⋮ Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem ⋮ Приближенное интегрирование обыкновенных дифференциальных уравнений методом рядов Чебышeва с контролем точности ⋮ Padé approximants of special functions ⋮ An approximate method for integration of ordinary differential equations ⋮ 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

Cites Work

• Application of Markov's quadrature in orthogonal expansions
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