Both Euler's method are of first order, Crank-Nicholson (also called Trapezoidal method) is second order: 则通过克兰克-尼科尔森方法导出的差分方程是 第n步上采用前向欧拉方法与第n+1步上采用后向欧拉方法的平均值 (注意,克兰克-尼科尔森方法本身不是这两种方法简单地取平均,方程对解隐式依赖) Crank-Nich...
我们还要在每个时间点进行一次矩阵向量乘法B \mathbf{U}^{n},一次向量加法B \mathbf{U}^{n}+f^{n} CN法示例: 数据与模型来自论文Wave-Pinning and Cell Polarity from a Bistable Reaction-Diffusion System \begin{array}{l} \frac{\partial u}{\partial t}=D_{u} \frac{\partial^{2} u}{\partia...