Title: Solving variational and Cauchy problems with self-configuring genetic programming algorithm

Authors: Sergey V. Burakov; Eugene S. Semenkin

Addresses: Siberian State Aerospace University, Krasnoyarskiy rabochiy avenue, 31, 660014, Krasnoyarsk, Russia ' Siberian State Aerospace University, Krasnoyarskiy rabochiy avenue, 31, 660014, Krasnoyarsk, Russia

Abstract: It is suggested to use genetic programming techniques for solving Cauchy problem and variational problem that allows getting the exact analytical solution if it does exist and an approximate analytical expression otherwise. Features of solving process with this approach are considered. Results of numerical experiments are given. The approach improvement is fulfilled by adopting the self-configuring genetic programming algorithm that does not require extra efforts for choosing its effective settings but demonstrates the competitive performance.

Keywords: ordinary differential equations; ODEs; analytical solutions; numerical methods; genetic programming; self-configuration; Cauchy problems; variational problems.

DOI: 10.1504/IJICA.2013.055931

International Journal of Innovative Computing and Applications, 2013 Vol.5 No.3, pp.152 - 162

Received: 07 Sep 2012
Accepted: 28 Nov 2012
Published online: 31 Jul 2014 *

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