General Formulation of Second-Order Semi-Lagrangian Methods for Convection-Diffusion Problems

Figure 1

𝐸_𝑙²-error of BDF1 and BDF2 versus the time step Δ𝑡 in log-log scale, with 𝑇=𝜋/4, 𝜈=1.00×10⁻³; ℎ=Δ𝑡=0.1,0.05,0.04,0.25,0.02,0.005. CI are involved in (a) and CSI in (b).

(a)

(b)