Geodesic
An approximate method for integration of ordinary differential equations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2013), pp. 43-46

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An approximate analytical method of solving a Cauchy problem for normal systems of ordinary differential equations is considered. The method is based on the approximation of the solution by partial sums of shifted Chebyshev series. The coefficients of the series are determined by an iterative process using Markov quadrature formulas. 
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     title = {An approximate method for integration of ordinary differential equations},
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O. B. Arushanyan; N. I. Volchenskova; S. F. Zaletkin. An approximate method for integration of ordinary differential equations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2013), pp. 43-46. http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a7/