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太原理工大学洁净化工研究所
Published:2009
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张兴芳, 孙彦平. Application of Adomian Decomposition Method to the Solution of Nonlinear Mathematical Models in Reaction Engineering[J]. 2009, 30(2): 147-152.
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.
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.
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张兴芳.填充床电极反应器中典型有机电合成反应系统的选择性分析[J].化工学报,2008,59(5):1165-1170.Zhang Xingfang.Analysis of reaction selectivity of electro-organic synthesis system in packed bed electrode reaction[J].Journal of Chemical Industry and Engineering,2008,59(5):1165-1170.(in Chinese)
侯宝林.ADM机械化求解反应工程数模中非线性常微分方程边值问题[J].计算机与应用化学,2006,23(3):256-259.Hou Baolin.Applying ADM mechanization for solving nonlinear boundary value problem of ordinary differentialequation in reaction engineering[J].Computers and Applied Chemistry,2006,23(3):256-259.(in Chinese)
侯宝林,孙彦平.ADM机械化求解DLFFC多孔阳极理论数模[J].计算机与应用化学,2006,23(12):1250-1254.Hou Baolin,Sun Yanping.Appling ADM mechanization in solving theoretical models of porous anodes for DLFFC[J].Computers and Applied Chemistry,2006,23(12):1250-1254.(in Chinese)
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