African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Two non-standard finite difference schemes for the Timoshenko beam

Abdul Wasim Shaikh1* and Xiao-Liang Cheng2
    1Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Pakistan. 2Department of Mathematics, Zhejiang University, Hangzhou, 310028, P.R. China.
Email: [email protected]

  •  Accepted: 06 March 2012
  •  Published: 15 March 2013

Abstract

 

In this paper, we derive two non-standard finite difference schemes for the Timoshenko beam problem. The schemes are uniform with respect to the thickness small parameter of the beam, thus, no locking phenomenon occurs. Numerical results are presented.

 

Key words: Timoshenko beam, non-standard difference scheme, locking phenomenon