Geodesic
Ordinary differential equations Cauchy problem solving with genetic programming techniques
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 61-69

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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. 
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     author = {Sergey F. Burakov and Evgeny S. Semenkin},
     title = {Ordinary differential equations {Cauchy} problem solving with genetic programming techniques},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a6/}
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Sergey F. Burakov; Evgeny S. Semenkin. Ordinary differential equations Cauchy problem solving with genetic programming techniques. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 1, pp. 61-69. http://geodesic.mathdoc.fr/item/JSFU_2011_4_1_a6/