Further accuracy tests on Adomian decomposition method for chaotic systems

O. Abdulaziz; N. F.M. Noor; I. Hashim; M. S.M. Noorani

doi:10.1016/j.chaos.2006.09.007

Further accuracy tests on Adomian decomposition method for chaotic systems

O. Abdulaziz
, N. F.M. Noor
, I. Hashim
, M. S.M. Noorani

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

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 language	English
Pages (from-to)	1405-1411
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	36
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2006.09.007
State	Published - Jun 2008
Externally published	Yes

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10.1016/j.chaos.2006.09.007

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title = "Further accuracy tests on Adomian decomposition method for chaotic systems",

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.",

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AU - Abdulaziz, O.

AU - Noor, N. F.M.

AU - Hashim, I.

AU - Noorani, M. S.M.

PY - 2008/6

Y1 - 2008/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/38649111984

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DO - 10.1016/j.chaos.2006.09.007

M3 - Article

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SP - 1405

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

Further accuracy tests on Adomian decomposition method for chaotic systems

Abstract

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