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Fereidoon, A., Rostamiyan, Y., Davoudabadi, M.R., Farahani, S.D. and Ganji, D.D. (2010) Analytic approach to investigation of distributions of stresses and radial displacement at the thick-wall cylinder under the internal and external pressures. Middle-East Journal of Scientific Research, 5, 321-328.

has been cited by the following article:

• 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.