CA based parallel computational models for nonlinear parabolic systems

摘要

Cellular automata (CA) are fully parallel computational models and are widely applied to numerical modelling for many complex systems or nonlinear systems, such as fluid dynamics. Those systems are often governed by nonlinear partial differential equations which are hard to solve by using traditional numerical methods. In this paper, based on CA, a general model for a kind of evolutionary physics systems is proposed. As an example, a CA-like model for nonlinear parabolic equation is built by using multi-scalar analysis. The model is applied to several typical problems and satisfactory results are achieved.