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Author Momani, Shaheren_US
Author Erjaee, G.H.en_US
Author Alnasr, M.H.en_US
Available date 2010-01-06T11:37:30Zen_US
Publication Date 2009-04-22en_US
Publication Name Computers & Mathematics with Applications
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), 2209–2220en_US
URI http://dx.doi.org/10.1016/j.camwa.2009.03.082en_US
URI http://hdl.handle.net/10576/10601en_US
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 enen_US
Publisher Elsevieren_US
Subject Nonlinear oscillatoren_US
Subject Homotopy perturbation methoden_US
Subject Laplace transformen_US
Subject Padé approximantsen_US
Title The modified homotopy perturbation method for solving strongly nonlinear oscillatorsen_US
Type Articleen_US


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