TY - JOUR T1 - A Better Difference Scheme with Four Near-Conserved Quantities for the KdV Equation AU - Han , Zhen AU - Shen , Long-Jun JO - Journal of Computational Mathematics VL - 3 SP - 224 EP - 234 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9293.html KW - AB -
In this paper, we present a new semi-discrete difference sheme for the KdV equation, which possesses the first four near-conserved quantities. The scheme is better than the past one given in [4], because its solution has a more superior estimation. The convergence and the stability of the new scheme are proved.