Basic Science On Numerical Simulation of a Boundary Valued-Neuronal Model
Oluleye Hezekiah Babatunde, Olufisoye Caleb Akanbi, Adekunle A. Eludire, Oluwaseun Gbenga Fadare, Olumide Gabriel Egbedokun, Olabisi Aluko · 2012
ENGLISH/ ABSTRACT (ENGLISH/ ABSTRACT (ENGLISH/ ABSTRACT (ENGLISH/ ANGLAIS This work presents the analysis and numerical solution of a boundary -valued Neuronal Model - Cellular Neural Networks (CNN) on a finite lattice with various boundary conditions imposed. The influence of these boundary conditions ( Fixed (or Dirichlet ), Zero-flux (or Neumann ), Periodic (or toroidal) on the CNN Dynamics for adaptive contour detection and certain system theoritic property, are investigated. The results and analysis in this investigation have significant implications for circuit design in cellular neural networks and different applications of CNN such as image processing, solution of PDEs and other real life problems.