Further accuracy tests on Adomian decomposition method for chaotic systems

O. Abdulaziz, N. F M Noor, Ishak Hashim, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1405-1411
Number of pages7
JournalChaos, Solitons and Fractals
Volume36
Issue number5
DOIs
Publication statusPublished - Jun 2008

Fingerprint

Adomian Decomposition Method
Chaotic System
decomposition
Chen System
Runge-Kutta method
Lorenz System
Runge-Kutta Methods
Analytical Methods
High Accuracy
Numerical Methods
intervals
Interval

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

Further accuracy tests on Adomian decomposition method for chaotic systems. / Abdulaziz, O.; Noor, N. F M; Hashim, Ishak; Md. Noorani, Mohd. Salmi.

In: Chaos, Solitons and Fractals, Vol. 36, No. 5, 06.2008, p. 1405-1411.

Research output: Contribution to journalArticle

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