解四阶杆振动方程的三层高精度差分格式  

High-accurate and three-layer difference schemes for solving four-order rod vibration equation

作　　者：李燕[1] 单双荣[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《福州大学学报（自然科学版）》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)

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.

关 键 词：四阶杆振动方程 差分格式 高精度 绝对稳定 

分 类 号：O241.82[理学—计算数学]