On the multistage homotopy procedure for a fractional Lorenz system | ||
| Delta Journal of Science | ||
| Article 1, Volume 39, Issue 1, June 2018, Pages 1-8 PDF (2.26 M) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2018.138900 | ||
| Authors | ||
| A.R. El-Namoury1; M.M. Hikal2; Mahmoud A. Abu Ibrahim1 | ||
| 1Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt | ||
| 2Physics and Engineering Mathematics Department, Faculty of Engineering, Tanta University, Tanta, Egypt | ||
| Abstract | ||
| In this article, the multistage homotopy perturbation method (MHPM) is applied for solving differential systems with fractional order derivatives in the Caputo sense. This method is a modification of the standard homotopy perturbation method (HPM). A fractional Lorenz system as an application is presented for which some numerical comparisons between the (MHPM) and (HPM) with the 4th order Runge-Kutta method (RK4). The results reveal that the used pre-mentioned procedure (MHPM) is a reliable and an effective tool for constructing an accurate approximate solution for the fractional Lorenz system. | ||
| Keywords | ||
| Fractional calculus; Lorenz system; The multistage; homotopy perturbation method | ||
| References | ||
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