The modified homotopy perturbation method for solving strongly nonlinear oscillators

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The modified homotopy perturbation method for solving strongly nonlinear oscillators

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

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