Comparing numerical methods for the solutions of the Chen system

M.S.M. Noorani, I. Hashim, R. Ahmad, S.A. Bakar, E.S. Ismail and A.M. Zakaria

Chaos, Solitons & Fractals, 2007, vol. 32, issue 4, 1296-1304

Abstract: In this paper, the Adomian decomposition method (ADM) is applied to the Chen system which is a three-dimensional system of ODEs with quadratic nonlinearities. The ADM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. Comparisons between the decomposition solutions and the classical fourth-order Runge–Kutta (RK4) numerical solutions are made. In particular we look at the accuracy of the ADM as the Chen system changes from a non-chaotic system to a chaotic one. To highlight some computational difficulties due to a high Lyapunov exponent, a comparison with the Lorenz system is given.

Date: 2007
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:4:p:1296-1304

DOI: 10.1016/j.chaos.2005.12.036

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