@inproceedings{a3b2ac0bc4bc48f3a9b3f833c6e0e523,
title = "Partial differential equations numerical modeling using dynamic neural networks",
abstract = "In this paper a strategy based on differential neural networks (DNN) for the identification of the parameters in a mathematical model described by partial differential equations is proposed. The identification problem is reduced to finding an exact expression for the weights dynamics using the DNNs properties. The adaptive laws for weights ensure the convergence of the DNN trajectories to the PDE states. To investigate the qualitative behavior of the suggested methodology, here the non parametric modeling problem for a distributed parameter plant is analyzed: the anaerobic digestion system {\textcopyright} 2009 Springer Berlin Heidelberg.",
author = "Rita Fuentes and Alexander Poznyak and Isaac Chairez and Tatyana Poznyak",
year = "2009",
month = nov,
day = "27",
doi = "10.1007/978-3-642-04277-5_56",
language = "American English",
isbn = "3642042767",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "552--562",
booktitle = "Partial differential equations numerical modeling using dynamic neural networks",
note = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) ; Conference date: 01-01-2014",
}