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.
| Original language | English |
|---|---|
| Article number | 003 |
| Pages (from-to) | 312-314 |
| Number of pages | 3 |
| Journal | Chinese Physics Letters |
| Volume | 24 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 1 2007 |