Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423029 | Journal of Computational and Applied Mathematics | 2012 | 13 Pages |
Abstract
We consider the numerical integration of the Degasperis-Procesi equation, which was recently introduced as a completely integrable shallow water equation. For the equation, we propose nonlinear and linear finite difference schemes that preserve two invariants associated with the bi-Hamiltonian form of the equation at the same time. We also prove the unique solvability of the schemes, and show some numerical examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuto Miyatake, Takayasu Matsuo,