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

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). Numeri...

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Bibliographic Details
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
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Summary: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.

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