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Table 8 Convergence rates of EAC3 for Example 4.5 at \(t=0.5\) and \(t=1.0\) with \(\nu =0.1\)

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

h = Δx = Δyt = 0.5t = 1.0
\(E_{\infty }(t)\)rate\(E_{R2}(t)\)ratecpu\(E_{\infty }(t)\)rate\(E_{R2}(t)\)ratecpu
1/501.89 × 10−34.08 × 10−40.0393.87 × 10−44.91 × 10−50.073
1/1003.02 × 10−42.646.58 × 10−52.630.2556.40 × 10−52.607.04 × 10−62.800.512
1/2004.21 × 10−52.849.18 × 10−62.842.0979.13 × 10−62.819.65 × 10−72.874.147
1/4005.64 × 10−62.901.31 × 10−62.8122.0331.20 × 10−62.931.28 × 10−82.9241.431