摘要
对四阶抛物型方程构造一族含参数高精度三层差分格式 .当参数满足一定的条件时 ,差分格式稳定 .局部截断误差阶数最高可达O(τ2 +h6) .最后 ,用数值例子说明对稳定性所作的分析是正确的 .
A family of high accurate and three layer difference schemes containing parameters are constructed for solving four order parabolic equation. These difference schemes are stable when the parameters satisfy a certain condition. The local truncation error can reach the order of O(τ 2+h 6) as the maximum. The analysis of stability is correct, as illustrated by numerical example.
出处
《华侨大学学报（自然科学版）》
CAS
北大核心
2005年第1期19-22,共4页
Journal of Huaqiao University(Natural Science)
基金
国务院侨务办公室科研基金资助项目 (0 4QZR0 9)
关键词
四阶抛物型方程
差分格式
绝对稳定
four-order parabolic equation, difference scheme, absolutely stable
