期刊
MATHEMATICS AND COMPUTERS IN SIMULATION
卷 76, 期 1-3, 页码 188-192出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2007.01.016
关键词
Pade methods; k(n, n) equation; compactons; dispersive shocks
Three implicit finite difference methods based on Pade approximations in space are developed for the Rosenau-Hyman K(n, n) equation. The analytical solutions and their invariants are used to assess the accuracy of these methods. Shocks which develop after the interaction of compactons are shown to be independent of the numerical method and its parameters indicating that their origin may not be numerical. The accuracy in long-time integrations of high-order Pade methods is shown. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据