Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 835-841.

• 论文 • 上一篇    下一篇

THE MULTI-SYMPLECTIC ALGORITHM FOR “GOOD” BOUSSINESQ EQUATION

曾文平1, 黄浪扬1, 秦孟兆2   

  1. 1. Department of Mathematics, Huaqiao University, Quanzhou 362011, P R China;
    2. The State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/ Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China
  • 收稿日期:2001-09-25 修回日期:2002-02-05 出版日期:2002-07-18 发布日期:2002-07-18
  • 基金资助:
    the Foundation for Key Laboratory of Scientific/Engineering Computing In stitute of Computational Mathematics and Scientif ic/Engineering Computing,Chinese Academy of Sciences;the Natural Science Foundation of Huaqiao University

THE MULTI-SYMPLECTIC ALGORITHM FOR “GOOD” BOUSSINESQ EQUATION

ZENG Wen-ping1, HUANG Lang-yang1, QIN Meng-zhao2   

  1. 1. Department of Mathematics, Huaqiao University, Quanzhou 362011, P R China;
    2. The State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/ Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China
  • Received:2001-09-25 Revised:2002-02-05 Online:2002-07-18 Published:2002-07-18
  • Supported by:
    the Foundation for Key Laboratory of Scientific/Engineering Computing In stitute of Computational Mathematics and Scientif ic/Engineering Computing,Chinese Academy of Sciences;the Natural Science Foundation of Huaqiao University

摘要: The multi-symplectic formulations of the "Good" Boussinesq equation were considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissman integrator was derived. The numerical experiments show that the multi-symplectic scheme have excellent long-time numerical behavior.

Abstract: The multi-symplectic formulations of the "Good" Boussinesq equation were considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissman integrator was derived. The numerical experiments show that the multi-symplectic scheme have excellent long-time numerical behavior.

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