A Better Difference Scheme with Four Near-Conserved Quantities for the KdV Equation

A Better Difference Scheme with Four Near-Conserved Quantities for the KdV Equation

Year:    1994

Author:    Zhen Han, Long-Jun Shen

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1994-JCM-9293

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 3 : pp. 224–234

Published online:    1994-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:   

Author Details

Zhen Han

Long-Jun Shen