Volume 16, Issue 3
Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback

Numer. Math. J. Chinese Univ. (English Ser.), 16 (2007), pp. 233-252.

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• 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.

• History

Published online: 2007-08

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