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

Figure 2

Numerical solutions (a) and distribution of absolute errors (b) for 𝜈=0.005 at different times with 𝑑𝑥=0.005,𝜏=1.1, and 𝑑𝑡=0.003.

(a) Numerical solutions

(b) Absolute errors