Analytic Solutions to Differential Equations under Graph-Based Genetic Programming


Seaton T., Brown G., Miller J. F.

13th European Conference on Genetic Programming, İstanbul, Turkey, 7 - 09 April 2010, vol.6021, pp.232-234 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 6021
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.232-234

Abstract

Cartesian Genetic Programming (CGP) is applied to solving differential equations (DE). We illustrate that repeated elements in analytic solutions to DE can be exploited under CP. An analysis is carried out of the search space in tree and COP frameworks, examining the complexity of different DE problems. Experimental results are provided against benchmark ordinary and partial differential equations. A system of ordinary differential equations (SODE) is solved using multiple outputs from a genome. We discuss best heuristics when generating DE solutions through evolutionary search.