Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback
Year: 2007
Numerical Mathematics, a Journal of Chinese Universities, Vol. 16 (2007), Iss. 3 : pp. 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∞ norm by using the discrete energy method. A numerical example is presented to verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-NM-10068
Numerical Mathematics, a Journal of Chinese Universities, Vol. 16 (2007), Iss. 3 : pp. 233–252
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20