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A relationship between three analytical approaches to nonlinear problems
Journal article   Open access  Peer reviewed

A relationship between three analytical approaches to nonlinear problems

A. Yildirim, H. Askari, M. Kalami Yazdi and Y. Khan
Applied mathematics letters, Vol.25(11), pp.1729-1733
01/11/2012
DOI: https://doi.org/10.1016/j.aml.2012.02.001

Abstract

Hamiltonian approach Harmonic balance method Variation approach
In this work, the relationship between three analytical techniques is demonstrated. The direct relationship between the variational approach (VA) and the Hamiltonian approach (HA) is illustrated for a first approximation, and subsequently the relationship between the variational approach and the harmonic balance method (HBM) is concluded. Moreover, the relationship between HA and VA is investigated for higher order solutions.
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https://doi.org/10.1016/j.aml.2012.02.001View
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