Publication: Introducing variational iteration method to a biochemical reaction model
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Date
2010
Authors
Goh S.M.
Noorani M.S.M.
Hashim I.
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Abstract
A basic enzyme kinetics is used to test the effectiveness of an analytical method, called the variational iteration method (VIM). This enzymesubstrate reaction is formed by a system of nonlinear ordinary differential equations. We shall compare the classical VIM against a modified version called the multistage VIM (MVIM). Additional comparison will be made against the conventional numerical method, RungeKutta (RK4)(fourth-order). Numerical results were obtained for these three methods and we found that MVIM and RK4 are in excellent conformance. � 2009 Elsevier Ltd. All rights reserved.
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Keywords
Fourth-order RungeKutta method , Nonlinear biochemical reaction model , Variational iteration method , Enzyme kinetics , Nonlinear equations , Numerical methods , Ordinary differential equations , Analytical method , Biochemical reactions , Fourth-order , Nonlinear ordinary differential equation , Numerical results , Runge-Kutta , Variational iteration method , Iterative methods