Homotopy analysis method for solving fractional Lorenz system

Homotopy analysis method for solving fractional Lorenz system

In this paper, a new reliable algorithm called the step homotopy analysis method (SHAM) based on an adaptation of the standard homotopy-analysis method (HAM) is presented to solve the fractional Lorenz system. This modified method yields an analytical solution in terms of a rapidly convergent infini...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2010-07, Vol.15 (7), p.1864-1872
Hauptverfasser: Alomari, A.K., Noorani, M.S.M., Nazar, R., Li, C.P.
Format: Artikel
Sprache:eng
Schlagworte:
Adaptation
Algorithms
Chaotic system
Computer simulation
Fractional Lorenz system
Ham
Homotopy analysis method
Lorenz system
Mathematical analysis
Mathematical models
Step homotopy analysis method
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Beschreibung
Zusammenfassung:In this paper, a new reliable algorithm called the step homotopy analysis method (SHAM) based on an adaptation of the standard homotopy-analysis method (HAM) is presented to solve the fractional Lorenz system. This modified method yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The accuracy of the present solution is found to be in excellent agreement with previously published solution.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.08.005