Ordinary differential equations Cauchy problem solving with genetic programming techniques

Sergey F. Burakov^a, Evgeny S. Semenkin<sup>b

a</sup> Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
^b Siberian State Aerospace University, Krasnoyarsk, Russia

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.

UDC: 519.622+004.8.023

Received: 31.05.2010
Received in revised form: 25.07.2010
Accepted: 10.10.2010