@Article{NM-16-233, author = {}, title = {Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {3}, pages = {233--252}, abstract = {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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10068.html} }