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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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 |
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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 |
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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 |
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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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25521891600 |
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25521891600 Goh S.M. Noorani M.S.M. Hashim I. |
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Article |
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Goh S.M. Noorani M.S.M. Hashim I. |
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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 |
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2023 |
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1806424425163128832 |
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13.222552 |