Introducing variational iteration method to a biochemical reaction model

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

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 languageEnglish
Pages (from-to)2264-2272
Number of pages9
JournalNonlinear Analysis: Real World Applications
Volume11
Issue number4
DOIs
Publication statusPublished - 01 Aug 2010

Fingerprint

Enzyme kinetics
Variational Iteration Method
Ordinary differential equations
Numerical methods
Enzyme Kinetics
Runge-Kutta
Nonlinear Ordinary Differential Equations
Analytical Methods
Fourth Order
Numerical Methods
Model
Numerical Results
Enzymes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Engineering(all)
  • Medicine(all)
  • Economics, Econometrics and Finance(all)

Cite this

@article{e43e008348ab4e5497c58840044c62f5,
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.",
author = "Goh, {Su Mei} and Noorani, {M. S M} and I. Hashim",
year = "2010",
month = "8",
day = "1",
doi = "10.1016/j.nonrwa.2009.06.015",
language = "English",
volume = "11",
pages = "2264--2272",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier BV",
number = "4",

}

Introducing variational iteration method to a biochemical reaction model. / Goh, Su Mei; Noorani, M. S M; Hashim, I.

In: Nonlinear Analysis: Real World Applications, Vol. 11, No. 4, 01.08.2010, p. 2264-2272.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Introducing variational iteration method to a biochemical reaction model

AU - Goh, Su Mei

AU - Noorani, M. S M

AU - Hashim, I.

PY - 2010/8/1

Y1 - 2010/8/1

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.

UR - http://www.scopus.com/inward/record.url?scp=77955424710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955424710&partnerID=8YFLogxK

U2 - 10.1016/j.nonrwa.2009.06.015

DO - 10.1016/j.nonrwa.2009.06.015

M3 - Article

VL - 11

SP - 2264

EP - 2272

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

SN - 1468-1218

IS - 4

ER -