A self-adaptive moving mesh method for the Camassa-Holm equation

Bao Feng Feng, Ken Ichi Maruno, Yasuhiro Ohta

研究成果: Article査読

21 被引用数 (Scopus)

抄録

A self-adaptive moving mesh method is proposed for the numerical simulations of the Camassa-Holm equation. It is an integrable scheme in the sense that it possesses the exact N-soliton solution. It is named a self-adaptive moving mesh method, because the non-uniform mesh is driven and adapted automatically by the solution. Once the non-uniform mesh is evolved, the solution is determined by solving a tridiagonal linear system. Due to these two superior features of the method, several test problems give very satisfactory results even if by using a small number of grid points.

本文言語English
ページ(範囲)229-243
ページ数15
ジャーナルJournal of Computational and Applied Mathematics
235
1
DOI
出版ステータスPublished - 2010 11 1
外部発表はい

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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