A FINITE DIFFERENCE SCHEME FOR RLW-BURGERS EQUATION

  • Zhao, Xiaohong (Department of Mathematics, Faculty of science, Yanshan university) ;
  • Li, Desheng (Department of Mathematics, Faculty of science, Yanashan University) ;
  • Shi, Deming (Department of Mathematics, Faculty of science, Yanshan university)
  • Published : 2008.05.31

Abstract

In this paper, a finite difference method for a Cauchy problem of RLW-Burgers equation was considered. Although the equation is not energy conservation, we have given its the energy conservative finite difference scheme with condition. Convergence and stability of the difference solution were proved. Numerical results demonstrate that the method is efficient and reliable.

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