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A meshless method for the compound KdV-Burgers equation
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学] O343[理学—固体力学;理学—力学]
  • 作者机构：[1]Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China, [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant No. 10871124） and the Natural Science Foundation of Zhejiang Province of China （Grant No. Y6110007）.
作者： 程荣军[1], 程玉民[2]
关键词： BURGERS方程, 无网格方法, KDV, GALERKIN, 本质边界条件, 复合方法, 数值求解, 德弗里斯, element-free Galerkin （EFG） method, meshless method, compound Korteweg-de Vries-Burgers （KdVB） equation, solitary wave
中文摘要：

The element-free Galerkin (EFG) method for numerically solving the compound Korteweg-de Vries-Burgers (KdVB) equation is discussed in this paper.The Galerkin weak form is used to obtain the discrete equation and the essential boundary conditions are enforced by the penalty method.The effectiveness of the EFG method of solving the compound Korteweg-de Vries-Burgers (KdVB) equation is illustrated by three numerical examples.

英文摘要：

The element-free Galerkin （EFG） method for numerically solving the compound Korteweg-de Vries-Burgers （KdVB） equation is discussed in this paper. The Galerkin weak form is used to obtain the discrete equation and the essential boundary conditions are enforced by the penalty method. The effectiveness of the EFG method of solving the compound Korteweg-de Vries-Burgers （KdVB） equation is illustrated by three numerical examples.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
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  • 被引量:406