应用 G.Adomian分解法求解催化剂 n级反应扩散 -反应耦合非线性微分方程 ,通过应用边界条件初定和逼近解通式最后求取待定常数的方法 ,获得了 n级反应的逼近解析解的通式和一级反应的解析解 ,给出了有代表性的 2级及 0 .5级反应的浓度分布和效率因子数学表达式以及浓度分布和效率因子与 Thiele模数关系 ,经与数值法比较 ,逼近解有令人满意的精度 The G.Adomian decomposition method is used to solve the n-th reaction diffusion-reaction coupling nonlinear differential equation. By using the initial conditions of the boundary conditions and approximating the solution equation, the method of determining the constant to be determined is obtained finally. The analytic solution of the first-order reaction and the first-order reaction are given. The mathematical expressions of concentration distribution, efficiency factor, concentration distribution, efficiency factor and Thiele modulus of representative second- and fifth-level reactions are given. Compared with the numerical method , Approximation solution has a satisfactory accuracy