Comparing numerical methods for the solutions of the Chen system

By M. Noorani, Ishak Hashim, R. Ahmad, S. A. Bakar, E. S. Ismail, A. Zakaria. 2007

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Application of the differential transformation method for the solution of the hyperchaotic Rössler system (2009, methodology): “In recent years, much attention has been devoted to the newly developed methods to construct an analytic solutions of nonlinear equation, such methods include the Adomian decomposition method [1–5], and the variational iteration method [6–8] and recently the homotopy analysis method and the homotopy”
On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model (2008, methodology): “Following similar approach in [4–6], we take the initial approximations as v1;0ðtÞ 1⁄4 x0ðtÞ 1⁄4 xðt Þ 1⁄4 c 1; v2;0ðtÞ 1⁄4 y0ðtÞ 1⁄4 yðt Þ 1⁄4 c 2; ð30Þ where t* is the left-end point of each subinterval.”