摘要
对色散方程ｕｔ＝ａｕｘｘｘ（ａ为常数，可正可负），本文提出两个在中间层具有六个网格点的三层显式差分格式，其稳定性条件为｜ｒ｜＝｜ａ｜τ／ｈ３≤１．２５，优于格式的｜ｒ｜≤１．１８１５，其局部截断误差仍为 Ｏ（τｈ＋ｈ２）．
This paper proposes two of the three-level explicit schemes P3 for a dispersive equation ut = auxxx with stability condition |r| = |a|τ/ h3≤1 .25, which is much better than |r| ≤1. 1851, in the class of three-level explicit schemes with six net points in the middle level. The local trucation errors for the schemes are O(τh+h2).
出处
《福州大学学报（自然科学版）》
CAS
CSCD
1991年第4期1-6,共6页
Journal of Fuzhou University(Natural Science Edition)
关键词
色散方程
显式差分格式
稳定性
dispersive equation
explicit difference scheme
stability
