Abstract
A solvability theorem for a system of equations with respect to approximate values of Fourier–Chebyshev coefficients is formulated. This theorem is a theoretical justification for numerical solution of ordinary differential equations using Chebyshev series.
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References
O. B. Arushanyan and S. F. Zaletkin, “Approximate Solution of Cauchy Problem for Ordinary Differential Equations by the Method of Chebyshev Series,” Vychisl. Metody i Program. 17, 121 (2016).
O. B. Arushanyan, N. I. Volchenskova and S. F. Zaletkin, “Calculation of Expansion Coefficients of Series in Chebyshev Polynomials for a Solution to a Cauchy Problem,” Vestn. Mosk. Univ. Matem. Mekhan., No. 5, 24 (2012).
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Original Russian Text © O.B. Arushanyan and S.F. Zaletkin, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 5, pp. 58–61.
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Arushanyan, O., Zaletkin, S.F. Solvability of a system of equations for the Fourier–Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method. Moscow Univ. Math. Bull. 72, 213–216 (2017). https://doi.org/10.3103/S0027132217050072
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DOI: https://doi.org/10.3103/S0027132217050072