一类Timoshenko梁方程组的二阶差分格式  

A Second-order Difference Scheme for a Timoshenko Beam Equations

作　　者：曹秀梅[1] 李福乐[1] 辛永训[1] 修宗湖[1] 

机构地区：[1]青岛农业大学理学院,山东青岛266109

出　　处：《青岛农业大学学报（自然科学版）》2007年第2期154-158,共5页Journal of Qingdao Agricultural University(Natural Science)

摘　　要：用降阶法技巧对一类Timoshenko梁方程组构造了三层线性差分格式,并用能量分析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。最后举例说明了该理论的应用。In this study, we derive a finite difference for a Timoshenko beam with boundary feedback by the method of reduction of order on uniform meshes. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable andsecond order convergent in L∞ norm. Numerical results demonstrate the theoretical results.

关 键 词：TIMOSHENKO梁 有限差分 可解性 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]