中文摘要：

建立二维区域带平方衰减反应的三分子自催化反应扩散系统的数学模型，利用浓度分布的Chapmann-Enskogz展开及多尺度技术，给出基于格子Bohzmann模型的二维三分子自催化反应扩散系统的数值求解法，得到半开放自催化反应扩散系统在反应与扩散机制同时作用所产生化学波的过程和浓度空间分布值。数值结果表明本文提供的求解化学波现象的方法是有效的。

英文摘要：

The three molecules autocatalytic reaction-diffusion system mathematical model was established in two-dimentional zone square decay reaction. The numerical solution method for two-dimensional reaction-diffusion system was investigated based on the lattice Bohzmann model. Using Champman-Enskogz expansion and multi-scale technique to the concentration distribution, the two-dimensional reaction-diffusion equation was obtained. Furthermore the value of the space-distributions for the process and concentrations of reactant and autoeatalyst were given. The numerical simulation results indicate that the method offered in this paper is effective.