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On accuracy of Adomian decomposition method for hyperchaotic Rössler system
- Source :
- Chaos, Solitons & Fractals. 40:1801-1807
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- The aim of this paper is to investigate the accuracy of the Adomian decomposition method for solving the hyperchaotic Rossler system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth-order Runge–Kutta (RK4) solutions are made. It is found that the comparable accuracy of the ADM with the RK4 for the chaotic Lorenz system does not carry to the hyperchaotic Rossler system.
- Subjects :
- General Mathematics
Applied Mathematics
Carry (arithmetic)
Chaotic
Ode
General Physics and Astronomy
Statistical and Nonlinear Physics
Lorenz system
Nonlinear Sciences::Chaotic Dynamics
Quadratic equation
Control theory
Decomposition (computer science)
Applied mathematics
Adomian decomposition method
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........af3ed97ec1bb960bd1e32f2364f7a929