Conservative finite difference schemes for the Degasperis-Procesi equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article; Proceedings Paper

Miyatake, Yuto¹  Matsuo, Takayasu¹ 

[1] Univ Tokyo, Grad Sch Informat Sci & Technol, Dept Math Informat, Bunkyo Ku, Tokyo 1138656, Japan

关键词: Degasperis-Procesi equation;    Conservation;    Discrete variational derivative method;   

DOI  :  10.1016/j.cam.2011.09.004

来源: Elsevier

【 摘 要 】

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. (c) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free