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Volume 12, Issue 3
A Better Difference Scheme with Four Near-Conserved Quantities for the KdV Equation

Zhen Han & Long-Jun Shen

J. Comp. Math., 12 (1994), pp. 224-234.

Published online: 1994-12

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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.

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@Article{JCM-12-224, author = {Han , Zhen and Shen , Long-Jun}, title = {A Better Difference Scheme with Four Near-Conserved Quantities for the KdV Equation}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {3}, pages = {224--234}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9293.html} }
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.

Zhen Han & Long-Jun Shen. (1970). A Better Difference Scheme with Four Near-Conserved Quantities for the KdV Equation. Journal of Computational Mathematics. 12 (3). 224-234. doi:
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