色散方程的六点半显式差分格式

Semi-Explicit Difference Schemes of Six Point Unconditionally Stable Relating to Dispersive Equation

本文构造色散方程u_1=au_(xxx)的一类三层六点的差分格式.其截断误差为0.格式是无条件稳定的,且用的网格点数少,精度高,可以用显式进行计算.文末用数值例子说明了格式对定解问题的应用。

With relation to dispersive equation u_1=au_(xxx),one kind of three layer and six point difference schemes are constructed,with truncation error of 0(τ~2+h^2+τ~2/h^3).The scheme is unconditionally stable and high precise.With very few mesh points,it can be com- puted explictly.The applications of the scheme to the boundary value problem of dispersive equation are exemplified numerically.