Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 200, Issue 2, Pages 606-627Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.01.018
Keywords
Timoshenko beam; boundary feedback; partial differential equation; finite difference; solvability; convergence; stability
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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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