色散方程u_t=au_(xxx)的两个半显式绝对稳定差分格式

Two Absolutely Stable Semi-Explict Difference Schemes for Dispersion Equation u_t=au_(xxx)

本文对色散方程 u_t=au_(xxx)构造了两个半显式的、绝对稳定的差分格式.其截断误差阶为O(rτh+τh+h^4).数值例子证实这两个差分格式是很有效的.

For dispersion equation u_t=au_(xxx),this paper establishes two absolutely sta- ble semi-explict difference schemes which bear a truncation error of O(rτh+τh +h^4)order. They are proved by numerical examples to be very effective.