Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback

被引：2
|
作者：
Fule Li Kaimei Huang (School of Science
机构：
来源：
Numerical Mathematics:A Journal of Chinese Universities(English Series) | 2007年 / 03期
关键词：
Timoshenko beam; boundary feedback; partial differential equation; finite difference; solvability; convergence; stability;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
In this paper,the numerical approximation of a Timoshenko beam with bound- ary feedback is considered.We derived a linearized three-level difference scheme on uniform meshes by the method of reduction of order for a Timoshenko beam with boundary feedback.It is proved that the scheme is uniquely solvable,unconditionally stable and second order convergent in L;norm by using the discrete energy method. A numerical example is presented to verify the theoretical results.
引用
收藏
页码：233 / 252
页数：20
相关论文
共 50 条
12345