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A learning algorithm for cellular neural networks (CNN) solving nonlinear partial differential equations

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3 Author(s)
Puffer, F. ; Inst. fur Angewandte Phys., Frankfurt Univ., Germany ; Tetzlaff, R. ; Wolf, D.

A learning procedure for CNN is presented and applied in order to find the parameters of networks approximating the dynamics of certain nonlinear systems which are characterized by partial differential equations (PDE). Our results show that - depending on the training pattern - solutions of various PDE can be approximated with high accuracy by a simple CNN structure. Results for two nonlinear PDE, Burgers' equation and the Korteweg-de Vries equation, are discussed in detail

Published in:

Signals, Systems, and Electronics, 1995. ISSSE '95, Proceedings., 1995 URSI International Symposium on

Date of Conference:

25-27 Oct 1995