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A difference scheme for solving the Timoshenko Beam Equations with tip body£¬
Acta Mathematicae Applicatae Sinica, English Series£¬2008£¬vol.24, no.2
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lfl2004666: ½ð±Ò+5, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸, лл£¡ 2012-09-20 10:00:28
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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