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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 1, Pages 61–69 (Mi jsfu162)  
Ordinary differential equations Cauchy problem solving with genetic programming techniques

Sergey F. Burakova, Evgeny S. Semenkinb

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Siberian State Aerospace University, Krasnoyarsk, Russia
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Abstract: It is suggested to use genetic programming techniques for solving Cauchy problem that allows to get exact analytical solution if it does exist and approximate analytical expression otherwise. Features of solving process with this approach are considered. Results of numerical experiments are given.
Keywords: ordinary differential equations, Cauchy problem, numeric methods, genetic programming algorithm.
Received: 31.05.2010
Received in revised form: 25.07.2010
Accepted: 10.10.2010
Document Type: Article
UDC: 519.622+004.8.023
Language: Russian
Citation: Sergey F. Burakov, Evgeny S. Semenkin, “Ordinary differential equations Cauchy problem solving with genetic programming techniques”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 61–69
Citation in format AMSBIB
\Bibitem{BurSem11}
\by Sergey~F.~Burakov, Evgeny~S.~Semenkin
\paper Ordinary differential equations Cauchy problem solving with genetic programming techniques
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 1
\pages 61--69
\mathnet{http://mi.mathnet.ru/jsfu162}
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