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Conservative Difference Scheme for Generalized Rosenau-KdV Equation

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  • Yan Luo
  • Youcai Xu
  • Minfu Feng

Abstract

A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable with second order convergence. Numerical experiments verify the theoretical results.

Suggested Citation

  • Yan Luo & Youcai Xu & Minfu Feng, 2014. "Conservative Difference Scheme for Generalized Rosenau-KdV Equation," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlamp:986098
    DOI: 10.1155/2014/986098
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    Cited by:

    1. Cui Guo & Yinglin Wang & Yuesheng Luo, 2021. "A Conservative and Implicit Second-Order Nonlinear Numerical Scheme for the Rosenau-KdV Equation," Mathematics, MDPI, vol. 9(11), pages 1-15, May.

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