The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system

QSpace/Manakin Repository

The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system

Show full item record


Title: The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
Author: Chowdhury, M.S.H.; Hashim, I.; Momani, S.
Abstract: In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for the nonlinear systems of ODEs.
URI: http://dx.doi.org/10.1016/j.chaos.2007.09.073
http://hdl.handle.net/10576/10479
Date: 2007-09-17

Files in this item

Files Size Format View
The multistage ... ing the Lorenz system .pdf 426.5Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Search QSpace


Advanced Search

Browse

My Account