一类振动Timoshenko梁方程组的二阶差分格式(英文)  

A Two-order Difference Scheme for Solving the Vibrating Timoshenko Beam Equations

作　　者：李福乐[1] 王述香[1] 张洪谦[1] 孙丹娜[1] 赵静[1] 

机构地区：[1]莱阳农学院理学院,山东青岛266109

出　　处：《山东科学》2007年第2期1-6,9,共7页Shandong Science

摘　　要：本文用降阶法技巧对一类振动Timoshenko梁方程组构造了一个三层线性差分格式,用能量分析方法证明了格式的唯一可解性,无条件稳定性和在L∞范数下的二阶收敛性.最后给出了数值例子验证了理论结果.In this paper, we derive a linear three-level difference scheme for a vibrating Timoshenko beam equations by the method of reduction of order on uniform meshes and have proved that the scheme is uniquely solvable, unconditionally stable and second order convergent in L∞ norm with the discrete energy method. The result of the theoretical analysis is verified experimentally.

关 键 词：TIMOSHENKO梁 有限差分 可解性 收敛性 稳定性 

分 类 号：O241.8[理学—计算数学]