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Sohouli, A.R., Famouri, M., Kimiaeifar, A. and Domairry, G. (2010) Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux. Communications in Nonlinear Science and Numerical Simulation, 15, 1691-1999. doi:10.1016/j.cnsns.2009.07.015

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• TITLE: Solution of non-linear boundary value problems in immobilized glucoamylase kinetics

  AUTHORS: Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

  KEYWORDS: Reaction-Diffusion System; Immobilized Enzyme; Adomian Decomposition Method; Homotopy Analysis Method; Boundary Value Problems

  JOURNAL NAME: Natural Science, Vol.5 No.4, April 19, 2013

  ABSTRACT: A mathematical model to describe the enzyme reaction, mass transfer and heat effects in the calorimetric system is discussed. The model is based on non-stationary diffusion Equation containing a nonlinear term related to immobilize liver esterase by flow calorimetry. This paper presents the complex numerical methods (Adomian decomposition method, Homotopy analysis and perturbation method) to solve the non-linear differential Equations that depict the diffusion coupled with a non-linear reaction terms. Approximate analytical expressions for substrate concentration have been derived for all values of parameters α, β and γE. These analytical results are compared with the available numerical results and are found to be in good agreement.