Prescribing a multistage analytical method to a prey-predator dynamical system

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

doi:10.1016/j.physleta.2008.11.009

Prescribing a multistage analytical method to a prey-predator dynamical system

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

Universiti Tenaga Nasional
Universiti Kebangsaan Malaysia

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

14 Scopus citations

Abstract

This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).

Original language	English
Pages (from-to)	107-110
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	1
DOIs	https://doi.org/10.1016/j.physleta.2008.11.009
State	Published - 22 Dec 2008
Externally published	Yes

Keywords

Fourth-order Runge-Kutta method
Prey-predator model
Variational iteration method

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10.1016/j.physleta.2008.11.009

Cite this

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abstract = "This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).",

keywords = "Fourth-order Runge-Kutta method, Prey-predator model, Variational iteration method",

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AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2008/12/22

Y1 - 2008/12/22

N2 - This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).

AB - This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).

KW - Fourth-order Runge-Kutta method

KW - Prey-predator model

KW - Variational iteration method

UR - https://www.scopus.com/pages/publications/56449124930

U2 - 10.1016/j.physleta.2008.11.009

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1

ER -

Prescribing a multistage analytical method to a prey-predator dynamical system

Abstract

Keywords

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