TY - Jour A2 - Anco，Stephen C. Au - Zhang，Ping Au - Zhang，Xiaohua Au - Song，Laizhong Py - 2016 DA - 2016/02/29 Ti - 变形式多尺度元素免费Galerkin方法与低通滤波器相结合Burgers’ Equation with Small Diffusion SP - 1836978 VL - 2016 AB - Variational multiscale element free Galerkin (VMEFG) method is applied to Burgers’ equation. It can be found that, for the very small diffusivity coefficients, VMEFG method still suffers from instability in the presence of boundary or interior layers. In order to overcome this problem, the high order low-pass filter is used to smooth the solution. Three test examples with very small diffusion are presented and the solutions obtained are compared with exact solutions and some other numerical methods. The numerical results are found in which the VMEFG coupled with low-pass filter works very well for Burgers’ equation with very small diffusivity coefficients. SN - 1687-9120 UR - https://doi.org/10.1155/2016/1836978 DO - 10.1155/2016/1836978 JF - Advances in Mathematical Physics PB - Hindawi Publishing Corporation KW - ER -