Homotopy analysis method for solving fractional Lorenz system

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1864-1872
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number7
DOIs
Publication statusPublished - Jul 2010

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Homotopy Analysis Method
Lorenz System
Fractional
Infinite series
Power series
Analytical Solution
Term
Standards

Keywords

  • Chaotic system
  • Fractional Lorenz system
  • Homotopy analysis method
  • Step homotopy analysis method

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics

Cite this

Homotopy analysis method for solving fractional Lorenz system. / Alomari, A. K.; Md. Noorani, Mohd. Salmi; Mohd. Nazar, Roslinda; Li, C. P.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 7, 07.2010, p. 1864-1872.

Research output: Contribution to journalArticle

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