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- W2064432016 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." @default.
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- W2064432016 date "2007-05-01" @default.
- W2064432016 modified "2023-09-25" @default.
- W2064432016 title "Comparing numerical methods for the solutions of the Chen system" @default.
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- W2064432016 doi "https://doi.org/10.1016/j.chaos.2005.12.036" @default.
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