Introducing variational iteration method to a biochemical reaction model

S. M. Goh; M. S.M. Noorani; I. Hashim

doi:10.1016/j.nonrwa.2009.06.015

Introducing variational iteration method to a biochemical reaction model

S. M. Goh
, M. S.M. Noorani
, I. Hashim

Universiti Tenaga Nasional
Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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.

Original language	English
Pages (from-to)	2264-2272
Number of pages	9
Journal	Nonlinear Analysis: Real World Applications
Volume	11
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2009.06.015
State	Published - Aug 2010
Externally published	Yes

Keywords

Fourth-order RungeKutta method
Nonlinear biochemical reaction model
Variational iteration method

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10.1016/j.nonrwa.2009.06.015

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title = "Introducing variational iteration method to a biochemical reaction model",

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.",

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author = "Goh, \{S. M.\} and Noorani, \{M. S.M.\} and I. Hashim",

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T1 - Introducing variational iteration method to a biochemical reaction model

AU - Goh, S. M.

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2010/8

Y1 - 2010/8

N2 - 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.

AB - 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.

KW - Fourth-order RungeKutta method

KW - Nonlinear biochemical reaction model

KW - Variational iteration method

UR - https://www.scopus.com/pages/publications/77955424710

U2 - 10.1016/j.nonrwa.2009.06.015

DO - 10.1016/j.nonrwa.2009.06.015

M3 - Article

AN - SCOPUS:77955424710

SN - 1468-1218

VL - 11

SP - 2264

EP - 2272

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

Introducing variational iteration method to a biochemical reaction model

Abstract

Keywords

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