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2. A compact difference scheme for an nonlinear two-dimensional parabolic inverse problem

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1. Numerical Simulation for the Timoshenko Beam Equations with Boundary Feedback


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1. Numerical Simulation for the Timoshenko Beam Equations with Boundary Feedback
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FN Thomson Reuters Web of Knowledge
VR 1.0
PT  S
AU  Wang, DK
Li, FL
AF  Wang, Dian-kun
Li, Fu-le
BE  Chen, R
TI  Numerical Simulation for the Timoshenko Beam Equations with Boundary Feedback
SO  INTELLIGENT COMPUTING AND INFORMATION SCIENCE, PT I
SE  Communications in Computer and Information Science
LA  English
DT  Proceedings Paper
CT  International Conference on Intelligent Computing and Information Science
CY  JAN 08-09, 2011
CL  Chongqing, PEOPLES R CHINA
SP  Control Engn & Informat Sci Res Assoc, Int Frontiers Sci & Technol Res Assoc, Chongqing Xueya Conferences Catering Co Ltd, Chongqing Univ Technol
DE  Timoshenko beam; Finite difference method; Solvability; Convergence; Stability
ID  FINITE-ELEMENT APPROXIMATIONS; DIFFERENCE SCHEME; SEMIDISCRETE
AB  In this paper, a vibrating Timoshenko beam with boundary feedback is considered. A linearized three-level difference scheme for the Timoshenko beam equations is derived by the method of reduction of order on uniform meshes. 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. The validity of this theoretical analysis is verified experimentally.
C1  [Wang, Dian-kun; Li, Fu-le] Qingdao Agr Univ, Coll Sci & Informat, Qingdao 266109, Peoples R China.
RP  Li, FL (reprint author), Qingdao Agr Univ, Coll Sci & Informat, Qingdao 266109, Peoples R China
EM  nianwo@163.com 1f12004666@126.com
NR  12
TC  0
Z9  0
PU  SPRINGER-VERLAG BERLIN
PI  BERLIN
PA  HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
SN  1865-0929
BN  978-3-642-18128-3
J9  COMM COM INF SC
PY  2011
VL  134
IS  I
BP  106
EP  111
PG  6
WC  Computer Science, Theory & Methods
SC  Computer Science
GA  BTZ45
UT  WOS:000288518000017
ER  

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2. A compact difference scheme for an nonlinear two-dimensional parabolic inverse problem
Ïêϸ¼ìË÷ÐÅÏ¢£º



FN Thomson Reuters Web of Knowledge
VR 1.0
PT  B
AU  Wang, DK
Li, FL
AF  Wang, Diankun
Li, Fule
BE  Xu, BY
Shen, J
TI  A Compact Difference Scheme for an Nonlinear Two-Dimensional Parabolic Inverse Problem
SO  2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3
LA  English
DT  Proceedings Paper
CT  International Conference on Information Electronic and Computer Science
CY  NOV, 2010
CL  Zibo, PEOPLES R CHINA
DE  parabolic inverse problem; compact difference scheme; ADI algorithm; solvability
ID  CONTROL PARAMETER; EQUATIONS
AB  In this paper, a nonlinear two-dimensional parabolic inverse problem with overspecified data is considered. A compact difference scheme is constructed for this problem. The discretization accuracy of this difference scheme is four-order in space and two order in time. The unique solvability of the difference scheme is obtained. We construct an alternating direction implicit (ADI) algorithm to solve the difference scheme. Numerical result; demonstrate the theoretical results.
C1  [Wang, Diankun; Li, Fule] Qingdao Agr Univ, Coll Sci & Informat, Qingdao, Peoples R China.
RP  Li, FL (reprint author), Qingdao Agr Univ, Coll Sci & Informat, Qingdao, Peoples R China
EM  nianwo@163.com lfl2004666@126.com
NR  10
TC  0
Z9  0
PU  SCI RES PUBL, INC-SRP
PI  IRVIN
PA  5005 PASEO SEGOVIA, IRVIN, CA 92603-3334 USA
BN  978-1-935068-42-6
PY  2010
BP  381
EP  384
PG  4
WC  Computer Science, Information Systems; Computer Science, Interdisciplinary Applications; Computer Science, Theory & Methods; Engineering, Electrical & Electronic
SC  Computer Science; Engineering
GA  BUW33
UT  WOS:000290499500096
ER  

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