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