A meshless method for the compound KdV-Burgers equation

A meshless method for the compound KdV-Burgers equation
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DOI:
10.1088/1674-1056/20/7/070206
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发表时间:
2011-07
期刊:
影响因子:
1.7
通讯作者:
程荣军;程玉民
程荣军;程玉民
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
程荣军;程玉民

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本文讨论了数值求解复合Korteweg-de Vries-Burgers (KdVB)方程的无单元伽辽金(EFG)方法。离散方程采用伽辽金弱形式,基本边界条件采用罚值法。通过三个算例说明了EFG法求解复合Korteweg-de Vries-Burgers (KdVB)方程的有效性。
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.