强非线性问题的新解法

用改进了的LP法求解一类强非线性自由振动的初值问题及一类非线性二阶常微分方程的初值问题（未知函数取值较小时）。算例表明，本文方法对于求解强非线性问题，具有很好的精度，而通用的奇异摄动法（如多尺度法）或M．E．Shvez法则差多了。

A New Method for Solving the Strongly Nonlinear Problems

In this paper, using the improved L-P method, the author seeks to solve a class of strongly nonlinear free vibration problems with initial values and a class of nonlinear second order ordinry differential equations with initial values (when the values of the unknown function are small). Numerical examples show that the method of this paper has good accuracy, while the accuracy of the commonly used singular perturbation method (for example, the multiple scales method) or the M. E. Shvez method are worse.