Crank-Nicolson Difference Scheme for the Generalized Rosenau-Burgers Equation

نویسندگان

  • Kelong Zheng
  • Jinsong Hu
چکیده

In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-Burgers equation, Difference scheme, Stability, Convergence.

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تاریخ انتشار 2010