含悬挂点自补图的递推构造  

A spectral scheme with weaker stability condition for Cahn Hilliard equation

作　　者：陈耀俊[1] 魏暹荪[1] 张运清[1] 

机构地区：[1]陕西师范大学数学系

出　　处：《陕西师范大学学报（自然科学版）》1997年第3期14-16,共3页Journal of Shaanxi Normal University：Natural Science Edition

摘　　要：设Ｇ是ｐ阶自补图，文中讨论了含悬挂顶点的ｐ＋４阶自补图与所有ｐ阶自补图的关系，给出了由ｐ阶自补图构造出ｐ＋４阶含悬挂顶点的自补图的方法及含悬挂点的ｐ＋４阶自补图的数目Ｎ１（ｐ＋４）．The author studies an explicit fully discrete spectral method and pseudo spectral method with weaker stability condition for the Cahn Hilliard equation. Stability and convergence of the schemes are proved by the bounded extensive method of nonlinear function and Sobolev′s inequalities. It is an explicit scheme and has the same stability and the same accuracy with the implicit scheme. And it is easily performed on computers. The numerical results are given.

关 键 词：悬挂顶点 自补图 计数 简单图 图论 

分 类 号：O157.5[理学—数学]