Skip to main content

Table 3 Spatial convergence rates for the proposed methods for Example 4.2 with fixed spatial resolution \(h=1/4000\)

From: Simulation of advection–diffusion–dispersion equations based on a composite time discretization scheme

\(J_{x}\)σ = 100, ν = 0.1
EAC3EAC4
\(E_{\infty }(t)\)\(\mathit{rate}_{t}\)\(E_{R2}(t)\)\(\mathit{rate}_{t}\)cpu\(E_{\infty }(t)\)\(\mathit{rate}_{t}\)\(E_{R2}(t)\)\(\mathit{rate}_{t}\)cpu
238.11 × 10−48.97 × 10−40.728.10 × 10−48.97 × 10−40.71
241.33 × 10−42.611.32 × 10−42.771.341.33 × 10−42.611.32 × 10−42.771.34
259.97 × 10−63.739.97 × 10−63.732.649.97 × 10−63.739.96 × 10−63.732.65
266.72 × 10−73.896.71 × 10−73.896.116.71 × 10−73.896.71 × 10−73.896.17
277.69 × 10−83.137.69 × 10−83.1312.807.69 × 10−83.137.69 × 10−83.1313.01