Asymptotic numerical method for multi-degree-of-freedom nonlinear dynamic systems
Shu-Li Mei,
Cheng-Jin Du and
Sen-Wen Zhang
Chaos, Solitons & Fractals, 2008, vol. 35, issue 3, 536-542
Abstract:
Homotopy perturbation method (HPM) proposed by Ji-Huan He is very effective and convenient for single-degree-of-freedom systems. In this paper a coupling technique of He’s method and precise integration method (PIM) is suggested to solve multi-degree-of-freedom nonlinear dynamic systems. The new technique keeps the merits of the two methods. Some examples are given to illustrate its effectiveness and convenience. Furthermore the obtained solution is of high accuracy.
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:3:p:536-542
DOI: 10.1016/j.chaos.2006.05.067
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