摘要
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.
出处
《华侨大学学报(自然科学版)》
CAS
1993年第2期148-153,共6页
Journal of Huaqiao University(Natural Science)
关键词
色散方程
半显式
差分格式
稳定性
dispersive equation
truncation error
unconditionally stable semi-explicit difference scheme