Accuracy of the Adomian decomposition method applied to the Lorenz system

被引：79

作者：

Hashim, I ^{[1
]}

Noorani, MSM ^{[1
]}

Ahmad, R ^{[1
]}

Bakar, SA ^{[1
]}

Ismail, ES ^{[1
]}

Zakaria, AM ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Malaysia

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2005.08.135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1149 / 1158

页数：10

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