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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

巻:
巻 51, 2019 巻 50, 2018 巻 49, 2017 巻 48, 2016 巻 47, 2015 巻 46, 2014 巻 45, 2013 巻 44, 2012 巻 43, 2011 巻 42, 2010 巻 41, 2009 巻 40, 2008 巻 39, 2007 巻 38, 2006 巻 37, 2005 巻 36, 2004 巻 35, 2003 巻 34, 2002 巻 33, 2001 巻 32, 2000 巻 31, 1999 巻 30, 1998 巻 29, 1997 巻 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i9.10
pages 1-11

A New Method for Solving the Cauchy Problem for Systems of Ordinary Differential Equations

Oleg N. Lytvyn
Ukrainian Engineering and Pedagogical Academy, Kharkov
Lyudmila S. Lobanova
Ukrainian Engineering and Pedagogical Academy, Kharkov
Galina A. Miroshnychenko
Ukrainian Engineering and Pedagogical Academy, Kharkov

要約

A new method for finding an approximate solution of the Cauchy problem for systems of linear ordinary differential equations is proposed. The approximate solution is represented as a linear combination of the elements of a system of linearly independent functions. The unknown constants of expansion into a series are found from the condition of the best approximation of the right-hand sides of the differential equations of the system (by the norm L2 [0, 1]) and their derivatives (by the norm W2 [0, 1]), using the indicated system of linearly independent functions. Examples are given.


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