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  • 标题:Numerical solution of Korteweg-de Vries-Burgers equation by the compact-type CIP method
  • 本地全文:下载
  • 作者:YuFeng Shi ; Biao Xu ; Yan Guo
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:353
  • DOI:10.1186/s13662-015-0682-5
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a hybrid compact-CIP scheme is proposed to solve Korteweg-de Vries-Burgers equation. The nonlinear advective terms are computed based on the classical constrained interpolation profile (CIP) method, which is coupled with a high-order compact scheme for third-order derivatives in Korteweg-de Vries-Burgers equation. The strong stability preserving third-order Runge-Kutta time discretizations is adopted in this work. A test case is presented to demonstrate the high-resolution properties of the proposed compact-CIP scheme.
  • 关键词:high-order compact schemes ; CIP schemes ; Korteweg-de Vries-Burgers equation
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