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

Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

Department of Mathematics, Ganesar College of Arts and Science, Melaisivapuri, India.
Department of Mathematics, K. L. N. College of Engineering, Pottapalayam, India.
Department of Mathematics, The Madura College, Madurai, India.

DOI: 10.4236/ns.2013.54061                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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