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Table 6 Comparison of accuracy of three methods for different time steps in Example 4.3

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

tu
EAC3AB3AM4
\(E_{\infty }(t)\)\(E_{R2}(t)\)\(E_{\infty }(t)\)\(E_{R2}(t)\)\(E_{\infty }(t)\)\(E_{R2}(t)\)
0.52.76 × 10−73.93 × 10−71.91 × 10−62.83 × 10−64.74 × 10−37.50 × 10−3
1.02.01 × 10−75.13 × 10−71.40 × 10−63.69 × 10−67.40 × 10−31.87 × 10−2
2.06.67 × 10−84.81 × 10−75.45 × 10−74.01 × 10−65.14 × 10−33.32 × 10−2
3.01.86 × 10−83.71 × 10−71.97 × 10−73.95 × 10−62.46 × 10−34.09 × 10−2
tv
EAC3AB3AM4
\(E_{\infty }(t)\)\(E_{R2}(t)\)\(E_{\infty }(t)\)\(E_{R2}(t)\)\(E_{\infty }(t)\)\(E_{R2}(t)\)
0.52.89 × 10−74.10 × 10−71.89 × 10−62.82 × 10−64.74 × 10−37.50 × 10−3
1.02.14 × 10−75.38 × 10−71.40 × 10−63.70 × 10−67.40 × 10−31.87 × 10−6
2.07.07 × 10−85.08 × 10−75.48 × 10−74.04 × 10−65.14 × 10−33.32 × 10−2
3.01.99 × 10−83.97 × 10−71.98 × 10−73.98 × 10−62.46 × 10−34.09 × 10−2