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Journal of Applied Mathematics
Volume 2014, Article ID 597926, 12 pages
Research Article

Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations

Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, China

Received 8 October 2013; Revised 20 November 2013; Accepted 29 November 2013; Published 2 January 2014

Academic Editor: Andrew Pickering

Copyright © 2014 Lei Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution. Then nonstandard finite difference schemes are constructed to solve two equations. Numerical experiments are presented to verify the accuracy and efficiency of such NSFD schemes.