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Accuracy of the Adomian decomposition method applied to the Lorenz system
- Source :
- Chaos, Solitons & Fractals. 28:1149-1158
- Publication Year :
- 2006
- Publisher :
- Elsevier BV, 2006.
-
Abstract
- 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.
- Subjects :
- Nonlinear Sciences::Chaotic Dynamics
Power series
General Relativity and Quantum Cosmology
General Mathematics
Applied Mathematics
Mathematical analysis
Chaotic
Decomposition (computer science)
General Physics and Astronomy
Statistical and Nonlinear Physics
Lorenz system
Adomian decomposition method
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 28
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........5fdbcec85bced5636bb17dd1d2e52a1d