The modified homotopy perturbation method for solving strongly nonlinear oscillators

QSpace/Manakin Repository

The modified homotopy perturbation method for solving strongly nonlinear oscillators

Show full item record


Title: The modified homotopy perturbation method for solving strongly nonlinear oscillators
Author: Momani, S.; Erjaee, G.H.; Alnasr, M.H.
Abstract: In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy perturbation method (MHPM) utilizes an alternative framework to capture the periodic behavior of the solution, which is characteristic of oscillator equations, and to give a good approximation to the true solution in a very large region. The current results are compared with those derived from the established Runge–Kutta method in order to verify the accuracy of the MHPM. It is shown that there is excellent agreement between the two sets of results. Results also show that the numerical scheme is very effective and convenient for solving strongly nonlinear oscillators.
URI: http://dx.doi.org/10.1016/j.camwa.2009.03.082
http://hdl.handle.net/10576/10601
Date: 2009-04-22

Files in this item

Files Size Format View
The modified ho ... nonlinear oscillators .pdf 676.2Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Search QSpace


Advanced Search

Browse

My Account