摘要
对具有周期解的扩散方程ｕｘ＝ａｕｘｘ（ａ＞０），我们用半离散化方法构造了具有任意阶精度自然数）的两层显格式。本文讨论了１≤ｐ≤１０，１≤ｑ≤５的情形，得到了一些格式，其精度和稳定性都优于现有的格式。
A kind of two-level explicit difference schemes with arbitrary order accuracy 0 (p, q-positive inteqer) for diffusion equation Ut=Auxx (A>0). Having periodic solution is established by a semi-discrete method. The case of ≤p≤ 10,1≤q≤5 are discussed. We obtain a number of schemes, their accuracy and stability are all much better than those of the known schemes.
出处
《计算机应用》
CSCD
1994年第2期29-32,共4页
journal of Computer Applications
关键词
扩散方程
半离散化方法
Diffusion equation
Semi-discrete method
Explicit schemes
Arbitraty order accuracy Stability
