中文摘要：

建立基于格子Boltzmann模型的一维Tyson反应扩散系统的数值求解法。利用浓度分布的Chapmann-Enskogz展开及多尺度技术，获得激励介质在反应与扩散机制同时作用的一维反应扩散方程，用于求解Tyson反应扩散的反应物和催化剂随时间的浓度空间分布值。数值结果表明本文中所提供的方法是有效的。

英文摘要：

The numerical solution method for one-dimension reaction-diffusion system was investigated based on the lattice Bohzmann model. Using Champman-Enskogz expansion and multi-scale technique to the concentration distribution, the one-dimensional reaction-diffusion equation was obtained. Furthermore the value of the space-distributions for the concentrations of reactant and autocatalyst were given. Simulating results indicate that the model is very effective.