一类强非线性偏微分方程组初边值问题之逆算符解法新探

A new exploration of the inverse operator solution for a kind of strong nonliear partial differential equations with initial-boundary value problems

对填充床催化反应器的数学模型──一类强非线性偏微分方程级─边值问题，用逆算符法求其近似解析解，提出了用“部分解的几何平均”替代“部分解的算术平均”的新方法．从而较园满地给出了此类方程组初─边值问题的近似解析解．

By means of the Inverse Operator Method,the approximate analytic solution for the mathematical model of the packed bed catalytic reactor (1. e. a kind of strong nonliner partial differential equations with initial-boundary value problems) are studied. A new technique,which replaces ‘the arithmetic mean of the partial solutions’ by ‘the geom-etry mean of the partial solutions’,is put forward. The technique leds that the approximate analytic solutions are given reasonably.