J4 ›› 2011, Vol. 46 ›› Issue (12): 19-22.

• Articles • Previous Articles     Next Articles

Conservative linearimplicit scheme for the general Improved KdV equation

ZUO Jin-ming, ZHANG Yao-ming   

  1. School of Science, Shandong University of Technology, Zibo 255049, Shandong, China
  • Received:2010-10-27 Online:2011-12-20 Published:2011-12-24

Abstract:

A new conservative linear-implicit difference scheme is presented for an initial-boundary value problem of the general Improved KdV (GIKdV) equation. It is proved by the discrete energy method that the scheme is unconditionally stable and second-order convergent. Numerical experiments demonstrate that the scheme is accurate and efficient.

Key words: GIKdV equation; linear-implicit difference scheme; conservation; convergence; stability

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