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Journal Articles

A Novel General and Robust Method Based on NAOP for Solving Nonlinear Ordinary Differential Equations and Partial Differential Equations by Cellular Neural Networks

Jean Chamberlain Chedjou, Kyandoghere Kyamakya
Journal: Journal of Dynamic Systems, Measurement, and Control
Publisher: ASME
Article Type: Research-Article
J. Dyn. Sys., Meas., Control. May 2013, 135(3): 031014.
Paper No: DS-11-1221
https://doi.org/10.1115/1.4023241
Published Online: March 28, 2013
... implementation in either DSP or FPGA or GPU platforms is then straightforward). Using the same technique, we proposed a high-precision computing of nonlinear PDEs while accounting even nonlinear terms (i.e., high order-terms) in the Taylor's series expansion used when transforming the PDE unto a set...
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Topics: Artificial neural networks, Differential equations, Optimization, Partial differential equations, Matlab, Dynamics (Mechanics), Computer simulation