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Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen

Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen
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摘要 A mathematical model of the oscillatory regimes of CO oxidation over plantinum-group metal catalysts are discussed. The model is based on nonstationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of the enzymatic reaction. This paper presents the analytical and numerical solution of the system of non-linear differential equations. Here the Homotopy perturbation method (HPM) is used to find out the analytical expressions of the concentration of CO molecules, O atom and oxide oxygen respectively. A comparison of the analytical approximation and numerical simulation is also presented. A good agreement between theoretical and numerical results is observed. A mathematical model of the oscillatory regimes of CO oxidation over plantinum-group metal catalysts are discussed. The model is based on nonstationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of the enzymatic reaction. This paper presents the analytical and numerical solution of the system of non-linear differential equations. Here the Homotopy perturbation method (HPM) is used to find out the analytical expressions of the concentration of CO molecules, O atom and oxide oxygen respectively. A comparison of the analytical approximation and numerical simulation is also presented. A good agreement between theoretical and numerical results is observed.
出处 《Natural Science》 2013年第3期326-332,共7页 自然科学期刊(英文)
关键词 OSCILLATORY Dynamics REACTION-DIFFUSION Boundary Value Problems HOMOTOPY PERTURBATION Method Oscillatory Dynamics Reaction-Diffusion Boundary Value Problems Homotopy Perturbation Method
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