A meshless method for the compound KdV-Burgers equation

作者：Cheng Rong-Jun; Cheng Yu-Min^*

来源：Chinese Physics B, 2011, 20(7): 070206.

DOI：10.1088/1674-1056/20/7/070206

• element-free Galerkin (EFG) method
• meshless method
• compound Korteweg-de Vries-Burgers (KdVB) equation
• solitary wave

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.

• 出版日期2011-7
• 单位上海大学; 浙江大学; 浙江大学宁波理工学院