The modified homotopy perturbation method for solving strongly nonlinear oscillators

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contributor.author Momani, Shaher en_US
contributor.author Erjaee, G.H. en_US
contributor.author Alnasr, M.H. en_US
date.accessioned 2010-01-06T11:37:30Z en_US
date.available 2010-01-06T11:37:30Z en_US
date.issued 2009-04-22 en_US
identifier.citation Momani, S., Erjaee, G. H., & Alnasr, M. H. (2009). The modified homotopy perturbation method for solving strongly nonlinear oscillators. Computers & Mathematics with Applications, 58(11–12), 2209–2220 en_US
identifier.uri http://dx.doi.org/10.1016/j.camwa.2009.03.082 en_US
identifier.uri http://hdl.handle.net/10576/10601 en_US
description.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. en_US
language.iso en en_US
publisher Elsevier en_US
subject Nonlinear oscillator en_US
subject Homotopy perturbation method en_US
subject Laplace transform en_US
subject Padé approximants en_US
title The modified homotopy perturbation method for solving strongly nonlinear oscillators en_US
type Article en_US


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