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

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  • Lei Zhang
  • Lisha Wang
  • Xiaohua Ding

Abstract

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.

Suggested Citation

  • Lei Zhang & Lisha Wang & Xiaohua Ding, 2014. "Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, January.
    • Handle: RePEc:hin:jnljam:597926
    DOI: 10.1155/2014/597926
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