节点文献
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
【摘要】 本文构造色散方程u1=auxxx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。
【Abstract】 With relation to dispersive equation u1=auxxx,one kind of three layer and six point difference schemes are constructed,with truncation error of 0(τ2+h2+τ2/h3).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.
【关键词】 色散方程;
截断误差;
无条件稳定;
半显式差分格式;
【Key words】 dispersive equation; truncation error; unconditionally stable semi-explicit difference scheme;
【Key words】 dispersive equation; truncation error; unconditionally stable semi-explicit difference scheme;
- 【文献出处】 华侨大学学报(自然科学版) ,Journal of Huqiao University(Natural Science) , 编辑部邮箱 ,1993年02期
- 【被引频次】1
- 【下载频次】16