An approximate method for integration of ordinary differential equations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2013), pp. 43-46
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Arushanyan O.B., Volchenskova N.I., Zaletkin S.F., “O primenenii ortogonalnykh razlozhenii dlya priblizhennogo integrirovaniya obyknovennykh differentsialnykh uravnenii”, Vestn. Mosk. un-ta. Matem. Mekhan., 2010, no. 4, 40–43 | MR

[2] Babenko K.I., Osnovy chislennogo analiza, Nauka, M., 1986 | MR

[3] Mysovskikh I.P., Lektsii po metodam vychislenii, Izd-vo S.-Peterburg. un-ta, SPb., 1998 | MR

[4] Ilin V.P., Kuznetsov Yu.I., Algebraicheskie osnovy chislennogo analiza, Nauka, Novosibirsk, 1986 | MR

[5] Arushanyan O.B., Zaletkin S.F., “O primenenii formuly chislennogo integrirovaniya Markova v ortogonalnykh razlozheniyakh”, Vestn. Mosk. un-ta. Matem. Mekhan., 2009, no. 6, 18–22 | MR

[6] Zaletkin S.F., “Formula chislennogo integrirovaniya Markova s dvumya fiksirovannymi uzlami i ee primenenie v ortogonalnykh razlozheniyakh”, Vychislitelnye metody i programmirovanie, 6:1 (2005), 141–157

[7] Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M., Chislennye metody, BINOM, M., 2007 | MR

[8] Arushanyan O.B., Zaletkin S.F., Chislennoe reshenie obyknovennykh differentsialnykh uravnenii na Fortrane, Izd-vo MGU, M., 1990 | MR