Published June 2006
| Version v1
Journal article
Accuracy of the Adomian decomposition method applied to the Lorenz system
- 1. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor (Malaysia)
Description
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
Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2005.08.135;
- PII
- S0960-0779(05)00759-9;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 28
- Journal Issue
- 5
- Journal Page Range
- p. 1149-1158
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37067062
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCURACY; ANALYTICAL SOLUTION; CHAOS THEORY; COMPARATIVE EVALUATIONS; POWER SERIES; RUNGE-KUTTA METHOD
- Descriptors DEC
- CALCULATION METHODS; EVALUATION; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; MATHEMATICS; NUMERICAL SOLUTION; SERIES EXPANSION
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.