Solving differential equations with genetic programming

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  author =       "I. G. Tsoulos and I. E. Lagaris",
  title =        "Solving differential equations with genetic
  journal =      "Genetic Programming and Evolvable Machines",
  year =         "2006",
  volume =       "7",
  number =       "1",
  pages =        "33--54",
  month =        mar,
  keywords =     "genetic algorithms, genetic programming, Grammatical
                 evolution, Differential equations, Evolutionary
  ISSN =         "1389-2576",
  URL =          "",
  URL =          "",
  DOI =          "doi:10.1007/s10710-006-7009-y",
  size =         "22 pages",
  abstract =     "A novel method for solving ordinary and partial
                 differential equations, based on grammatical evolution
                 is presented. The method forms generations of trial
                 solutions expressed in an analytical closed form.
                 Several examples are worked out and in most cases the
                 exact solution is recovered. When the solution cannot
                 be expressed in a closed analytical form then our
                 method produces an approximation with a controlled
                 level of accuracy. We report results on several
                 problems to illustrate the potential of this
  notes =        "ODE, PDE",

Genetic Programming entries for Ioannis G Tsoulos Ioannis G Tsoulos