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He, J.-H. (2006) Homotopy perturbation method for solving boundary value problems. Physics Letters A, 350, 87- 88. doi:10.1016/j.physleta.2005.10.005

has been cited by the following article:

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

  AUTHORS: Chinnasamy Thangapandi, Lakshmanan Rajendran

  KEYWORDS: Oscillatory Dynamics; Reaction-Diffusion; Boundary Value Problems; Homotopy Perturbation Method

  JOURNAL NAME: Natural Science, Vol.5 No.3, March 26, 2013

  ABSTRACT: 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.