A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method

Table 4

Comparison of the results with D1Q2, D1Q3, our model, and exact solution.

𝑥	D1Q2 model	D1Q3 model	Our model	Exact solution
0.5	0.001500	0.001500	0.001500	0.001500
0.6	0.001795	0.001787	0.001788	0.001786
0.7	0.002112	0.002099	0.002103	0.002096
0.8	0.002431	0.002414	0.002420	0.002411
0.9	0.002755	0.002734	0.002742	0.002731
1.0	0.003086	0.003060	0.003069	0.003056
1.1	0.003425	0.003393	0.003402	0.003389
1.2	0.003773	0.003735	0.003742	0.003729
1.3	0.004131	0.004087	0.004092	0.004080
1.4	0.004511	0.004483	0.004451	0.004421
1.5	0.005000	0.005000	0.005000	0.005000