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
收藏
页码：1604 / 1610
页数：7
相关论文
共 50 条
  • [1] Variational Iteration Method as a Reliable Treatment for the Hyperchaotic Rossler System
    Goh, S. M.
    Noorani, M. S. N.
    Hashim, I.
    Al-Sawalha, M. Mossa
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (03) : 363 - 371
  • [2] A new application of multistage homotopy perturbation method to the Chaotic Rossler system
    Chowdhury, M. S. H.
    Razali, Nur Isnida
    Ali, Sellami
    Rahman, M. M.
    INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 : 507 - 511
  • [3] Application of the General Variational Iteration Method to a Nonlinear System
    Lotfavar, A.
    Rafieipour, H.
    Latifizadeh, H.
    WORLD CONGRESS ON ENGINEERING, WCE 2011, VOL I, 2011, : 182 - 185
  • [4] Efficacy of variational iteration method for chaotic Genesio system - Classical and multistage approach
    Goh, S. M.
    Noorani, M. S. M.
    Hashim, I.
    CHAOS SOLITONS & FRACTALS, 2009, 40 (05) : 2152 - 2159
  • [5] Enhanced Variational Iteration Method using Adomian Polynomials for Solving the Chaotic Lorenz System
    Goh, S. M.
    Al-Sawalha, M. Mossa
    Noorani, M. S. M.
    Hashim, I.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 (09) : 689 - 700
  • [6] A Step Variational Iteration Method for Solving Non-Chaotic and Chaotic Systems
    Molliq, R. Yulita
    Noorani, M. S. M.
    Ahmad, R. R.
    Alomari, A. K.
    SAINS MALAYSIANA, 2013, 42 (03): : 347 - 358
  • [7] New applications of variational iteration method
    Abdou, MA
    Soliman, AA
    PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) : 1 - 8
  • [8] A new modification of the variational iteration method
    Soltani, L. Ahmad
    Shirzadi, Ahmad
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) : 2528 - 2535
  • [9] On solving the chaotic Chen system: a new time marching design for the variational iteration method using Adomian's polynomial
    Goh, S. M.
    Noorani, M. S. M.
    Hashim, I.
    NUMERICAL ALGORITHMS, 2010, 54 (02) : 245 - 260
  • [10] On solving the chaotic Chen system: a new time marching design for the variational iteration method using Adomian’s polynomial
    S. M. Goh
    M. S. M. Noorani
    I. Hashim
    Numerical Algorithms, 2010, 54 : 245 - 260
12345