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

This paper emphasizes the strength of variational iteration method (VIM) in numerically solving the chaotic Roessler system. The Roessler 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.