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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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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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id my.uniten.dspace-30688
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spelling my.uniten.dspace-306882023-12-29T15:51:22Z Introducing variational iteration method to a biochemical reaction model Goh S.M. Noorani M.S.M. Hashim I. 25521891600 6603683028 10043682500 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 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. Final 2023-12-29T07:51:22Z 2023-12-29T07:51:22Z 2010 Article 10.1016/j.nonrwa.2009.06.015 2-s2.0-77955424710 https://www.scopus.com/inward/record.uri?eid=2-s2.0-77955424710&doi=10.1016%2fj.nonrwa.2009.06.015&partnerID=40&md5=6d22745d282792c92f5d93f25b2b0f8c https://irepository.uniten.edu.my/handle/123456789/30688 11 4 2264 2272 Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic 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
spellingShingle 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
Goh S.M.
Noorani M.S.M.
Hashim I.
Introducing variational iteration method to a biochemical reaction model
description 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.
author2 25521891600
author_facet 25521891600
Goh S.M.
Noorani M.S.M.
Hashim I.
format Article
author Goh S.M.
Noorani M.S.M.
Hashim I.
author_sort Goh S.M.
title Introducing variational iteration method to a biochemical reaction model
title_short Introducing variational iteration method to a biochemical reaction model
title_full Introducing variational iteration method to a biochemical reaction model
title_fullStr Introducing variational iteration method to a biochemical reaction model
title_full_unstemmed Introducing variational iteration method to a biochemical reaction model
title_sort introducing variational iteration method to a biochemical reaction model
publishDate 2023
_version_ 1806424425163128832
score 13.211869

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