Solving differential equations with constructed neural networks

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@Article{Tsoulos20092385,
  author =       "Ioannis G. Tsoulos and Dimitris Gavrilis and 
                 Euripidis Glavas",
  title =        "Solving differential equations with constructed neural
                 networks",
  journal =      "Neurocomputing",
  volume =       "72",
  number =       "10-12",
  pages =        "2385--2391",
  year =         "2009",
  note =         "Lattice Computing and Natural Computing (JCIS 2007) /
                 Neural Networks in Intelligent Systems Designn (ISDA
                 2007)",
  ISSN =         "0925-2312",
  DOI =          "doi:10.1016/j.neucom.2008.12.004",
  URL =          "http://www.sciencedirect.com/science/article/B6V10-4V9S3C3-3/2/73dafb81780ffc228f23d8bbaf911aa3",
  keywords =     "genetic algorithms, genetic programming, Differential
                 equations, Neural networks, Grammatical evolution",
  abstract =     "A novel hybrid method for the solution of ordinary and
                 partial differential equations is presented here. The
                 method creates trial solutions in neural network form
                 using a scheme based on grammatical evolution. The
                 trial solutions are enhanced periodically using a local
                 optimisation procedure. The proposed method is tested
                 on a series of ordinary differential equations, systems
                 of ordinary differential equations as well as on
                 partial differential equations with Dirichlet boundary
                 conditions and the results are reported.",
}

Genetic Programming entries for Ioannis G Tsoulos Dimitris Gavrilis Euripidis Glavas

Citations