The analytical approximate solution of the equation is been obtained and the calculated precision is improved simultaneously by using the Weighted Average Method.
采用加权平均法可以得到该方程的近似的解析解，同时提高了计算精度。
Firstly, the approximate analytical solution of a local domain is derived.
首先求出了局部区域的近似解析解。
The perturbation method was employed to get the control equation's approximate solution. The analytical expressions of beam's natural lateral vibration frequency and displacement were derived.
采用摄动法求得了其近似解，得到了载流梁在磁场中的横向固有振动频率及位移解析表达式。
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