摘要
对四阶杆振动方程构造含参数高精度三层差分格式,当参数满足一定条件时,差分格式稳定,局部截断误差阶数最高可达O(τ4+h8).数值例子说明该方法对稳定性的分析是正确的.
A family of high -accurate and three -layer difference schemes with parameters are con- strutted for solving four - order rod vibration equation. These difference schemes are stable when the parameters satisfy a certain condition. The local truncation error can reach the order of O（τ^4＋h^8） as the maximum. The analysis of stability is correct, as illustrated by numerical example.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第2期154-159,共6页
Journal of Fuzhou University(Natural Science Edition)
基金
国家自然科学基金资助项目(11001090)
关键词
四阶杆振动方程
差分格式
高精度
绝对稳定
four -order rod vibration equation
difference scheme
high accuracy
absolutely stable
