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Adifference scheme for solving the Timoshenko beam equations with tip body Author(s): Li, FL (Li, Fu-le)1; Wu, ZK (Wu, Zi-ku)1; Huang, KM (Huang, Kai-mei)1 Source: ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES Volume: 24 Issue: 2 Pages: 337-352 DOI: 10.1007/s10255-007-7001-1 Published: 2008 Times Cited: 2 (from Web of Science) Cited References: 16 [ view related records ] Citation Map Abstract: In this article, a Timoshenko beam with tip body and boundary damping is considered. A linearized three-level difference scheme of the Timoshenko beam equations on uniform meshes is derived by the method of reduction of order. The unique solvability, unconditional stability and convergence of the difference scheme are proved. The convergence order in maximum norm is of order two in both space and time. A numerical example is presented to demonstrate the theoretical results. Accession Number: WOS:000255597500016 Document Type: Article Language: English Author Keywords: Timoshenko beam; boundary damping; partial differential equation; finite difference KeyWords Plus: FINITE-ELEMENT APPROXIMATIONS; BOUNDARY FEEDBACK Reprint Address: Wu, ZK (reprint author), Qingdao Agr Univ, Sch Sci, Qingdao 266109, Peoples R China. Addresses: 1. Qingdao Agr Univ, Sch Sci, Qingdao 266109, Peoples R China E-mail Address: zkwu1968@sina.com; lfl2004666@126.com; hkm1966@163.com Publisher: SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY Web of Science Categories: Mathematics, Applied Research Areas: Mathematics IDS Number: 297DO ISSN: 0168-9673 |

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