Journal of Siberian Federal University. Mathematics & Physics / Ordinary Differential Equations Cauchy Problem Solving with Genetic Programming Techniques

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (1)
Authors
Burakov, Sergey V.; Semenkin, Evgeny S.
Contact information
Burakov, Sergey V. : e-mail: ; Semenkin, Evgeny S. : e-mail:
Keywords
ordinary differential equations; Cauchy problem; numeric methods; genetic programming al- gorithm
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.

Pages
61-69
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2163