Solving differential equations with constructed neural networks
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- @Article{Tsoulos20092385,
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author = "Ioannis G. Tsoulos and Dimitris Gavrilis and
Euripidis Glavas",
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title = "Solving differential equations with constructed neural
networks",
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journal = "Neurocomputing",
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volume = "72",
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number = "10-12",
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pages = "2385--2391",
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year = "2009",
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note = "Lattice Computing and Natural Computing (JCIS 2007) /
Neural Networks in Intelligent Systems Designn (ISDA
2007)",
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ISSN = "0925-2312",
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DOI = "doi:10.1016/j.neucom.2008.12.004",
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URL = "http://www.sciencedirect.com/science/article/B6V10-4V9S3C3-3/2/73dafb81780ffc228f23d8bbaf911aa3",
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keywords = "genetic algorithms, genetic programming, Differential
equations, Neural networks, Grammatical evolution",
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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