The Application of Cellular Neural Networks for Solving Partial Differential Equations

摘要

The application of cellular neural networks (CNN) for solving partial differential equations (PDEs)is investigated in this paper. Two kinds of the PDEs, the heat-conduction equation and Poisson's equation, are considered to be typical examples. They can be computed in real time by using the CNN, while the CNN'5 hardware is implemented by the integrated OP-AMP. The experimental results show that the hardware performence is in agreement with that given by the computer simulation. Therefore, the CNN is a new powerful tool for solving PDEs.