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

O. B. Arushanyan, N. I. Volchenskova, and S. F. Zaletkin, “Application of Orthogonal Expansions for Approximate Integration of Ordinary Differential Equations,” Vestn. Mosk. Univ., Matem. Mekhan., No. 4, 40 (2010).

K. I. Babenko, Fundamentals of Numerical Analysis (Nauka, Moscow, 1986) [in Russian].

I. P. Mysovskikh, Lectures in Methods of Computations (St. Petersburg Univ., St. Petersburg, 1998) [in Russian].

V. P. Il’in and Yu. I. Kuznetsov, Algebraic Fundamentals of Numerical Analysis (Nauka, Novosibirsk, 1986) [in Russian].

O. B. Arushanyan and S. F. Zaletkin, “Application of Markov’s Quadrature in Orthogonal Expansions,” Vestn. Mosk. Univ., Matem. Mekhan., No. 6, 18 (2009).

S. F. Zaletkin, “Markov’s Numerical Integration Formula with Two Fixed Nodes and its Application in Orthogonal Expansions,” Vychisl. Metody i Programmir. 6(1), 141 (2005).

N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods (BINOM, Moscow, 2007) [in Russian].

O. B. Arushanyan and S. F. Zaletkin, Numerical Solution of Ordinary Differential Equations Using FORTRAN (Moscow State Univ., Moscow, 1990).

S. Pashkovskii, Computational Applications of Chebyshev Polynomials and Series (Nauka, Moscow, 1983) [in Russian].