摘要
关于色散方程u_t=au_(xxx)差分格式的讨论,在[1]和[2]中,分别提出了中层为五点和六点的显式差分格式,其稳定区域分别为 0≤r≤0.7016和-0.0625 ≤r≤1.1851.本文针对这一问题,讨论中层为七点的一类差分格式的稳定性.[1]中格式是本文的特例,并且这类格式的最佳稳定区域为0≤r≤2.394,大约是[2]中稳定范围的二倍,[1]中稳定范围的三倍.
This paper, we discuss a class of three-level explicit difference schemes with seven netpoints in the middle level, and obtain a scheme with the best stability condition 0≤r≤3.394.The stability area of this scheme is three times as large as 0≤r≤0.7016 and twice as large as-0.0625≤r≤1.1851.
出处
《计算数学》
CSCD
北大核心
1989年第2期172-177,共6页
Mathematica Numerica Sinica
