中文摘要：

针对传统数值求解方法存在的不足，将Adomian分解法（Adomian Decomposition Method，ADM）引入到反应工程非线性数模求解中，可给出非线性数模逼近解析解的代数表达式．介绍了ADM的基本原理及其近年来在反应工程非线性数模求解中的应用进展，给出了ADM求解多孔催化剂、多孔电极及填充床电极理论数模的实例，并对其求解多种反应工程数模的应用前景作了展望．实践证明：在求解精度和收敛速度方面，ADM是一种替代数值计算的有效方法．

英文摘要：

Aiming at the shortage of traditional numerical methods,the Adomian Decomposition Method （ADM） is introduced to solve the nonlinear model equations in reaction engineering. ADM can give the approximate analytical solutions in a form of algebraic expressions for nonlinear equations. The principle of ADM is introduced, and the recent progress of application of ADM to solving the nonlinear models in reaction engineering is reviewed. The solutions of theoretical models of porous catalysts, porous electrodes and packed bed electrodes are presented as examples. Furthermore, the application prospect of ADM to solving various systems of nonlinear equations in reaction engineering is outlined. Practice proves that ADM is an effective method to substitute numerical way in aspect of precision as well as convergence speed.