A finite difference scheme for solving the Timoshenko beam equations with boundary feedback

作者：Li Fu le; Sun Zhi zhong^*

来源：Journal of Computational and Applied Mathematics, 2007, 200(2): 606-627.

DOI：10.1016/j.cam.2006.01.018

• Timoshenko beam
• boundary feedback
• partial differential equation
• finite difference
• solvability
• convergence
• stability

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 and second order convergent in Loo norm. Numerical results demonstrate the theoretical results.

• 出版日期2007-3-15
• 单位东南大学