Published June 2008 | Version v1
Journal article

Further accuracy tests on Adomian decomposition method for chaotic systems

  • 1. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor (Malaysia)

Description

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

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2006.09.007

Additional details

Identifiers

DOI
10.1016/j.chaos.2006.09.007;
PII
S0960-0779(06)00821-6;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
36
Journal Issue
5
Journal Page Range
p. 1405-1411
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39048249
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; APPROXIMATIONS; CHAOS THEORY; RUNGE-KUTTA METHOD
Descriptors DEC
CALCULATION METHODS; ITERATIVE METHODS; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; MATHEMATICS; NUMERICAL SOLUTION

Optional Information

Copyright
Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.