色散方程八点显格式的稳定性

The Discussion on a Class of Explicit Difference Schemes for the Dispersive Equation

文中对色散方程z_i=z_给出了一个带参数的八点显式差分格式,还过对参数的全面讨论,得到了稳定的最佳范囹r≤3.154,它比以往的结果(r≤2.39)好了许多。

In this note,a class of three-level explicit difference schemes with eight net points in the middle tevel for a dispersive equation is proposed. A scheme with best stable region(r≤3.154) is obtained,which is superior to the primary results both in stable region and truncated error.