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Multisymplectic Euler Box Scheme for the KdV Equation |
| WANG Yu-Shun 1,2;WANG Bin 2;CHEN Xin 1 |
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1School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097
2Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 |
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| Cite this article: |
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WANG Yu-Shun, WANG Bin, CHEN Xin 2007 Chin. Phys. Lett. 24 312-314 |
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Abstract We investigate the multisymplectic Euler box scheme for the Korteweg--de Vries (KdV) equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky- Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration.
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| Keywords:
02.60.Cb
02.70.Bf
45.10.Na
45.20.Dh
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Received: 01 January 1900
Published: 24 February 2007
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| PACS: |
02.60.Cb
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(Numerical simulation; solution of equations)
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02.70.Bf
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(Finite-difference methods)
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45.10.Na
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(Geometrical and tensorial methods)
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45.20.dh
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(Energy conservation)
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