Research Article

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

Table 2

Error norms for 𝜈 = 1 at 𝑇 = 0 . 1 with different step size.

𝑁 𝑒 𝐿 2 𝑒 𝐿 𝑒 R M S

10 1 . 0 8 9 𝐸 0 2 2 . 7 8 9 𝐸 0 3 1 . 1 2 5 𝐸 0 4
20 4 . 6 4 0 𝐸 0 3 1 . 1 9 0 𝐸 0 3 5 . 0 0 0 𝐸 0 5
100 3 . 6 3 1 𝐸 0 3 9 . 2 9 6 𝐸 0 4 3 . 7 5 6 𝐸 0 5