We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.

利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。

youdao

Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.

然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。

youdao

Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.

首先，导出了用极坐标系描述的中厚板自由振动板的微分方程，用分离变量法求得其一般解。

youdao