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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2023
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| author | Goh S.M. Noorani M.S.M. Hashim I. |
| author2 | 25521891600 |
| author_facet | 25521891600 Goh S.M. Noorani M.S.M. Hashim I. |
| author_sort | Goh S.M. |
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| content_provider | Universiti Tenaga Nasional |
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| continent | Asia |
| country | Malaysia |
| 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. |
| format | Article |
| id | my.uniten.dspace-30688 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
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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 |
| 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 |
| title | 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_short | Introducing variational iteration method to a biochemical reaction model |
| title_sort | introducing variational iteration method to a biochemical reaction model |
| 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 |
| url_provider | http://dspace.uniten.edu.my/ |