运用同伦摄动法结合参数展开法求解强非线性问题
운용동륜섭동법결합삼수전개법구해강비선성문제
Solving Strong Nonlinear Problems by Using Homotopy Perturbation and Parameter -expanding Method
  • 万方数据
    长沙大学学报 장사대학학보
    JOURNAL OF CHANGSHA UNIVERSITY
    2015年 2期 13-14 ,共2页

    闫晓芳%陈颂

    염효방%진송

    同伦摄动法%参数展开法%非线性振动系统%近似解 同倫攝動法%參數展開法%非線性振動繫統%近似解
    동륜섭동법%삼수전개법%비선성진동계통%근사해
    homotopy perturbation method%parameter expansion method%nonlinear vibration system%approximate solution
    运用同伦摄动法结合改进的 Lindsted －Poincare 法的参数展开法求解了两个强非线性振动系统，得出了较高的近似解，进一步证明了此方法的有效性。
    운용동륜섭동법결합개진적 Lindsted －Poincare 법적삼수전개법구해료량개강비선성진동계통，득출료교고적근사해，진일보증명료차방법적유효성。
    In this paper,two strong nonlinear vibration problems are solved by using homotopy perturbation method and parameter -ex-panding method,which is based on modified Lindsted -Poincare method.Some examples are given to prove that approximate solutions obtained by this method are of high accuracy.
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