On solvability of a nonlinear system of equations for the Fourier-Chebyshev coefficients in the problem of solving ordinary differential equations using Chebyshev series
DOI:
https://doi.org/10.26089/NumMet.v18r214Keywords:
ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev series, Markov’s quadrature formulasAbstract
A solvability theorem for a nonlinear system of equations with respect to approximate values of Fourier-Chebyshev coefficients is formulated and proved. This theorem is a theoretical substantiation for the previously proposed numerical-analytical method of solving ordinary differential equations using Chebyshev series.
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Published
28-04-2017
How to Cite
Арушанян О., Залеткин С. On Solvability of a Nonlinear System of Equations for the Fourier-Chebyshev Coefficients in the Problem of Solving Ordinary Differential Equations Using Chebyshev Series // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 169-174. doi 10.26089/NumMet.v18r214
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Section
Section 1. Numerical methods and applications
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