Further accuracy tests on Adomian decomposition method for chaotic systems

被引：48

作者：

Abdulaziz, O. ^{[1
]}

Noor, N. F. M. ^{[1
]}

Hashim, I. ^{[1
]}

Noorani, M. S. M. ^{[1
]}

机构：

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

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 36卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2006.09.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Adomian decomposition method (ADM) is treated as an algorithm for approximating the solutions of the Lorenz and Chen systems in a sequence of time intervals, i.e. the classical ADM is converted into a hybrid analytical-numerical method. Comparisons with the seventh- and eighth-order Runge-Kutta method (RK78) reconfirm the very high accuracy of the hybrid analytical-numerical ADM. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1405 / 1411

页数：7

共 9 条

[1]

Adomian G., 1994, SOLVING FRONTIER PRO

[2] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[3] Accuracy of the Adomian decomposition method applied to the Lorenz system [J].

Hashim, I ;

Noorani, MSM ;

Ahmad, R ;

Bakar, SA ;

Ismail, ES ;

Zakaria, AM .

CHAOS SOLITONS & FRACTALS, 2006, 28 (05) :1149-1158

[4]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[5]

[6]

NETO HL, INT J HEAT IN PRESS

[7]

NOORANI MSM, CHAOS SOLIT IN PRESS

[8]

Sprott J. C., 2003, CHAOS TIME SERIES AN

[9] Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations [J].

Vadasz, P ;

Olek, S .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2000, 43 (10) :1715-1734

← 1 →