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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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:986098
    DOI: 10.1155/2014/986098
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    References listed on IDEAS

    as
    1. Maobo Zheng & Jun Zhou, 2014. "An Average Linear Difference Scheme for the Generalized Rosenau‐KdV Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Maobo Zheng & Jun Zhou, 2014. "An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, February.
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