摘要
本文给出了求解色散方程的一种中间层包含六个节点的三层显式差分格式,讨论了它们的相容性、稳定性,得出其稳定条件为|r|<1.25。这一条件[1]的要弱,最后给出了一组数值例子。
In this paper, we introduce a kind of three-level expliait difference with six knots in the middle level for the dispersive equation'u_t=au_(xxx). We discuss the ques- tions of the consistent and stability. The stability condition of these schemes is |r|≤ 1.25. it is more extensive than [1]. Lastly, the method are proved as to be effective by some numberical examples.
出处
《贵州大学学报(自然科学版)》
1990年第4期232-236,共5页
Journal of Guizhou University:Natural Sciences
关键词
色散方程
差分格式
相容性
稳定性
dispersive equation
three—level explicit difference schemes
consistent
stability