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Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem

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Abstract

Two approaches are proposed to determine an initial approximation for the coefficients of an expansion of the solution to a Cauchy problem for ordinary differential equations in the form of series in shifted Chebyshev polynomials of the first kind. This approximation is used in an analytical method to solve ordinary differential equations using orthogonal expansions.

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References

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Authors and Affiliations

  1. Research Computing Center, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

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

Authors
  1. O. B. Arushanyan
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  2. N. I. Volchenskova
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  3. S. F. Zaletkin
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Additional information

Original Russian Text © O.B. Arushanyan, N.I. Volchenskova, and S.F. Zaletkin, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 5, pp. 24–30.

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Arushanyan, O.B., Volchenskova, N.I. & Zaletkin, S.F. Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem. Moscow Univ. Math. Bull. 67, 211–216 (2012). https://doi.org/10.3103/S0027132212050051

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  • DOI: https://doi.org/10.3103/S0027132212050051

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