A new application of variational iteration method for the chaotic R�ssler system

• Main Authors: Goh S.M., Noorani M.S.M., Hashim I.
• Other Authors: 25521891600
• Format: Article
• Published: Elsevier Ltd 2023
• Subjects: Runge Kutta methods; Fourth-order runge-kutta; New applications; Numerical comparison; Quadratic nonlinearities; Three dimensional systems; Variational iteration method; Iterative methods

This paper emphasizes the strength of variational iteration method (VIM) in numerically solving the chaotic R�ssler system. The R�ssler 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. � 2009 Elsevier Ltd. All rights reserved.