摘要
构造了一族二维抛物型方程的一族两层显式格式 ,当截断误差为O(Δt+Δx2 )时 ,稳定性条件为网比r =Δt/Δx2 =Δt/Δy2 ≤ 1/ 2 ,优于同类的其他显式格式 ,当截断误差为O(Δt2 +Δx4 )时成为一个简洁而实用的高精度两层显式格式 .
A class of two-level explicit difference schemes are presented for solving two-dimensional parabolic equation.When the order of truncation error is O(Δt+Δx 2),the stability condition is mesh ratio r=ΔtΔx 2=ΔtΔy 2≤12,which is better than that of all the other explicit difference schemes.And when the order of truncation error is O(Δt 2+Δx 4),it becomes a concise and practical two-level explicit scheme with high accuracy.
出处
《河南师范大学学报(自然科学版)》
CAS
CSCD
2002年第1期23-25,共3页
Journal of Henan Normal University(Natural Science Edition)
基金
河南省教育厅自然科学基础研究立项项目 (97110 0 0 7)