T. Kozek et al., SIMULATING NONLINEAR-WAVES AND PARTIAL-DIFFERENTIAL EQUATIONS VIA CNN.2. TYPICAL EXAMPLES, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 42(10), 1995, pp. 816-820
Application of cellular neural network (CNN) paradigm of locally conne
cted analog array-computing structures is considered for solving parti
al differential equations (PDE's) and systems of ordinary differential
equations (ODE). Three examples are presented: a chain of particles w
ith nonlinear interactions, solitons in a nonlinear Klein-Gordon equat
ion, and an application of a reaction-diffusion CNN for fingerprint en
hancement.