期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 200, 期 2, 页码 606-627出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.01.018
关键词
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. (c) 2006 Published by Elsevier B.V.
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