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Table 7 Numerical accuracy for Example 4.4 using EAC3 with \(h=0.1\) and \(J_{x}=20\) on \([-10,10]\) for various values of ε, ν and η

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

ενη\(E_{\infty }(t)\)\(E_{R2}(t)\)
t = 0.3t = 0.6t = 0.9t = 0.3t = 0.6t = 0.9
1.00.11.09.11 × 10−173.52 × 10−153.39 × 10−149.75 × 10−152.26 × 10−132.09 × 10−12
0.10.13.23 × 10−102.09 × 10−93.95 × 10−94.86 × 10−93.03 × 10−85.56 × 10−8
0.10.013.12 × 10−42.12 × 10−34.31 × 10−32.89 × 10−41.85 × 10−33.63 × 10−3
0.10.11.09.02 × 10−163.49 × 10−143.37 × 10−139.62 × 10−152.24 × 10−132.08 × 10−12
0.10.13.23 × 10−92.09 × 10−83.95 × 10−84.86 × 10−93.30 × 10−85.56 × 10−8
0.10.016.49 × 10−44.42 × 10−38.98 × 10−32.89 × 10−41.85 × 10−33.63 × 10−3