On the application of the multistage Laplace Adomian decomposition method to the chaotic Chen system

Abstract

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In this paper, Laplace Adomian Decomposition Method (LADM) and the Multistage Laplace Adomian Decomposition Method (MLADM) were applied to obtain solutions to the Chen system for the non-chaotic and chaotic case. The study shows that the LADM only gives reliable results for t <<1. Comparison between the MLADM and the classical fourth-order Runge-Kutta (RK4) solutions shows that the MLADM performs well with high accuracy. The study shows that MLADM is a powerful and promising tool for solving nonlinear systems of ODEs of chaotic and non-chaotic nature.