On accuracy of Adomian decomposition method for hyperchaotic Rössler system

M. Mossa Al-Sawalha; M. S.M. Noorani; I. Hashim

doi:10.1016/j.chaos.2007.09.062

On accuracy of Adomian decomposition method for hyperchaotic Rössler system

M. Mossa Al-Sawalha
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

The aim of this paper is to investigate the accuracy of the Adomian decomposition method for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth-order Runge-Kutta (RK4) solutions are made. It is found that the comparable accuracy of the ADM with the RK4 for the chaotic Lorenz system does not carry to the hyperchaotic Rössler system.

Original language	English
Pages (from-to)	1801-1807
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	40
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2007.09.062
State	Published - 30 May 2009
Externally published	Yes

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10.1016/j.chaos.2007.09.062

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abstract = "The aim of this paper is to investigate the accuracy of the Adomian decomposition method for solving the hyperchaotic R{\"o}ssler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth-order Runge-Kutta (RK4) solutions are made. It is found that the comparable accuracy of the ADM with the RK4 for the chaotic Lorenz system does not carry to the hyperchaotic R{\"o}ssler system.",

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AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2009/5/30

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N2 - The aim of this paper is to investigate the accuracy of the Adomian decomposition method for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth-order Runge-Kutta (RK4) solutions are made. It is found that the comparable accuracy of the ADM with the RK4 for the chaotic Lorenz system does not carry to the hyperchaotic Rössler system.

AB - The aim of this paper is to investigate the accuracy of the Adomian decomposition method for solving the hyperchaotic Rössler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth-order Runge-Kutta (RK4) solutions are made. It is found that the comparable accuracy of the ADM with the RK4 for the chaotic Lorenz system does not carry to the hyperchaotic Rössler system.

UR - https://www.scopus.com/pages/publications/65449148390

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DO - 10.1016/j.chaos.2007.09.062

M3 - Article

AN - SCOPUS:65449148390

SN - 0960-0779

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EP - 1807

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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ER -

On accuracy of Adomian decomposition method for hyperchaotic Rössler system

Abstract

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