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Numerical Solutions of ODEs using Volterra Series

Kirov, Nikolay and Krastanov, Michail (2006) Numerical Solutions of ODEs using Volterra Series. Proceedings of the 2-nd International Workshop "Computer Science and Education", June 4-6, 2006, Borovetz-Sofia, Bulgaria . pp. 105-111.

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Abstract

We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the approximation. Also we can solve some ordinary di®erential equations for which the classical numerical methods fail.

Item Type:Article
Subjects:Computer science and information technologies > Computer science. Computer programming
Mathematics
ID Code:187
Deposited By: Доц. Николай Киров
Deposited On:17 Mar 2008 09:09
Last Modified:21 Aug 2012 12:07

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