A new application of variational iteration method for the chaotic Rossler system

被引：5

作者：

Goh, S. M. ^{[1
]}

Noorani, M. S. M. ^{[2
]}

Hashim, I. ^{[2
]}

机构：

[1] Univ Tenaga Nas, Coll Engn, Dept Engn Sci & Math, Kajang 43009, Selangor, Malaysia

[2] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 03期

关键词：

HOMOTOPY-PERTURBATION METHOD; ASYMPTOTIC METHODS; CHEN SYSTEM; EQUATIONS;

D O I：

10.1016/j.chaos.2009.03.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper emphasizes the strength of variational iteration method (VIM) in numerically solving the chaotic Rossler system. The Rossler system is a three-dimensional system of ODEs with quadratic nonlinearities. An adaptation of the VIM was implemented and is called the multistage VIM (MVIM). Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results showing extremely good performance by MVIM, yielding great accuracy and efficiency. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1604 / 1610

页数：7

共 28 条

[1] Variational iteration method for solving Burger's and coupled Burger's equations [J].

Abdou, MA ;

Soliman, AA .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251

[2] The solution of nonlinear coagulation problem with mass loss [J].

Abulwafa, EM ;

Abdou, MA ;

Mahmoud, AA .

CHAOS SOLITONS & FRACTALS, 2006, 29 (02) :313-330

[3] On accuracy of Adomian decomposition method for hyperchaotic Rossler system [J].

Al-Sawalha, M. Mossa ;

Noorani, M. S. M. ;

Hashim, I. .

CHAOS SOLITONS & FRACTALS, 2009, 40 (04) :1801-1807

[4] Application of the differential transformation method for the solution of the hyperchaotic Rossler system [J].

Al-Sawalha, M. Mossa ;

Noorani, M. S. M. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) :1509-1514

[5] Construction of analytic solution to chaotic dynamical systems using the Homotopy analysis method [J].

Allan, Fathi M. .

CHAOS SOLITONS & FRACTALS, 2009, 39 (04) :1744-1752

[6] Application of variational iteration method to heat-and wave-like equations [J].

Batiha, B. ;

Noorani, M. S. M. ;

Hashim, I. .

PHYSICS LETTERS A, 2007, 369 (1-2) :55-61

[7]

Batiha B., 2007, PHYS SCR, V76, P1

[8] Application of multistage homotopy-perturbation method for the solutions of the Chen system [J].

Chowdhury, M. S. H. ;

Hashim, I. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :381-391

[9]

Goh SM, 2009, INT J NONLIN SCI NUM, V10, P363

[10] Dynamics of the Hantavirus infection through variational iteration method [J].

Goh, S. M. ;

Ismail, A. I. M. ;

Noorani, M. S. M. ;

Hashim, I. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) :2171-2176

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