4楼: Originally posted by mathstudy at 2015-09-10 11:41:15
满足边值的特征函数为cos \lambda_l x,\quad \lambda_l=\frac{l\pi+\frac{\pi}{2}}{\delta} 则解C有如下级数形式的解C=\sum_{l=0}^\infty c(t) cos(\lambda_l x)带入主控方程得到
\frac{d c(t)}{d t}=-D_0\lambda ...

2楼: Originally posted by mathstudy at 2015-09-10 10:55:26
首先其次化右边界 C=C_B-C_{Bm}则C满足主控方程
\frac{\partial C}{\partial t}=D_0\frac{\partial^2 C}{\partial x^2}及初边值条件t=0, C=C_{B0}-C_{Bm},x=0, \frac{\partial C}{\partial x}=0, \quad x=\delta,  ...

2楼: Originally posted by mathstudy at 2015-09-10 10:55:26
首先其次化右边界 C=C_B-C_{Bm}则C满足主控方程
\frac{\partial C}{\partial t}=D_0\frac{\partial^2 C}{\partial x^2}及初边值条件t=0, C=C_{B0}-C_{Bm},x=0, \frac{\partial C}{\partial x}=0, \quad x=\delta,  ...