Accuracy of the Adomian decomposition method applied to the Lorenz system

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

Chaos, Solitons & Fractals, 2006, vol. 28, issue 5, 1149-1158

Abstract: In this paper, the Adomian decomposition method (ADM) is applied to the famous Lorenz system. 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 fourth-order Runge–Kutta (RK4) numerical solutions are made for various time steps. In particular we look at the accuracy of the ADM as the Lorenz system changes from a non-chaotic system to a chaotic one.

Date: 2006
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:5:p:1149-1158

DOI: 10.1016/j.chaos.2005.08.135

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