In this division, the multistage homotopy perturbation method (MHPM) is used to present analytical resolutions of the time fractional Lorenz order in Caputo sense. This method is a qualification of the standard homotopy perturbation method (HPM) that yields an analytical solution in conditions of a convergent limitless power series accompanying easily calculable terms. Some numerical correspondings between the (MHPM) and (HPM) with the 4th order Runge-Kutta pattern (RK4) is presented. Moreover, we strengthen our results by constructing the residual mistake for the solution. It is decided that the (MHPM) is reliable and effective form in finding analytical answers and it is very easy to build an accurate approximate solution for the partial Lorenz system.
Author(s) Details:
M. A. Abu-Ibrahim,
Mathematics
Department, Faculty of Science, Tanta University, Tanta, Egypt.
Please see the link here: https://stm.bookpi.org/RHST-V5/article/view/11165
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