A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
2
The asymptotic solutions composed of finite terms of elementary functions are obtained by regular perturbationmethod.
采用正则摄动法，求出了由有限项初等函数所构成的渐近解。
3
A class of ENSO perturbed model is studied. Using the perturbation theory and method, the asymptotic expansions of solution of corresponding problem are constructed.