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Introducing variational iteration method to a biochemical reaction model

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...

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Bibliographic Details
Main Authors: Goh S.M., Noorani M.S.M., Hashim I.
Other Authors: 25521891600
Format: Article
Published: 2023
Subjects:
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
Iterative methods
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Summary: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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