TY - JOUR
T1 - Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback
AU - F. L. Li & K. M. Huang
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 3
SP - 233
EP - 252
PY - 2007
DA - 2007/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10068.html
KW - 
AB - In this paper, the numerical approximation of a Timoshenko beam with
boundary 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 $L_{\infty}$ norm by using the discrete
energy method. A numerical example is presented to verify the
theoretical results.