Solving variational and Cauchy problems with self-configuring genetic programming algorithm. (1st January 2013)

• Record Type: Journal Article
• Authors: Burakov, Sergey V.; Semenkin, Eugene S.
• Is Part Of: International journal of innovative computing and applications. Volume 5:Number 3(2013)
• Page Start: 152
• Page End: 162
• Publication Date: 2013-01-01
• Subjects: ordinary differential equations -- ODEs -- analytical solution -- numeric methods -- genetic programming algorithm -- self-configuration -- Cauchy problem -- variational problem; Evolutionary computation -- Periodicals; Neural networks (Computer science) -- Periodicals; Genetic programming (Computer science) -- Periodicals; Biologically-inspired computing -- Periodicals; Swarm intelligence -- Periodicals; Quantum computers -- Periodicals; 006.3
• Languages: English
• ISSNs: 1751-648X

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.