| Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback |
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| 作者姓名： | Fule Li Kaimei Huang |
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| 作者单位： | School of Science，Laiyang Agricultural College，Qingdao 266109，China |
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| 摘 要： | In this paper,the numerical approximation of a Timoshenko beam with bound- ary 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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| 关 键 词： | 铁摩辛柯梁方程 边界反馈 偏微分方程 近似数值 误差分析 |
| 修稿时间： | 2006-04-272006-07-07 |
Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback |
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| Fule Li Kaimei Huang.Numerical Approximation and Error Analysis for the Timoshenko Beam Equations with Boundary Feedback[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(3):233-252. |
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| Authors: | Fule Li Kaimei Huang |
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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∞ norm by using the discrete energy method.A numerical example is presented to verify the theoretical results. |
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| Keywords: | Timoshenko beam boundary feedback partial differential equation finite difference solvability convergence stability |
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