山东科学2007，Vol.20Issue(2)：1-6,9,7.
一类振动Timoshenko梁方程组的二阶差分格式
A Two-order Difference Scheme for Solving the Vibrating Timoshenko Beam Equations
李福乐 1王述香 1张洪谦 1孙丹娜 1赵静1
作者信息
- 1. 莱阳农学院理学院,山东,青岛,266109
- 折叠
摘要
Abstract
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Key words
Timoshenko beam/finite difference/solvability/convergence/stability分类
数理科学引用本文复制引用
李福乐,王述香,张洪谦,孙丹娜,赵静..一类振动Timoshenko梁方程组的二阶差分格式[J].山东科学,2007,20(2):1-6,9,7.
