Research Article

Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion

Table 2

Comparison between the numerical solutions at for Re = 104.

Reference [3]Reference [30]VMEFG with filter

0.050.04240.03790.037716792
0.110.08430.08340.082959609
0.160.12630.12130.120632606
0.220.16840.16670.165785694
0.270.21030.20440.203352212
0.330.25220.24970.248337909
0.380.29390.28720.285730246
0.440.33550.33220.330462517
0.500.37690.37690.375015652
0.550.41820.41410.411982983
0.610.45920.45840.456120122
0.660.49990.49510.492687106
0.720.54040.53880.536270966
0.770.58050.57490.572307656
0.830.6200.61790.615158458
0.880.66000.65330.650490215
0.940.69570.69520.692359873
0.960.70900.706171615
0.980.72280.719903495
0.990.72960.728178293