Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 10 Numerical accuracy of Example 4.6 using EAC3 with different parameters

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

ν	h	\(J_{x}=J_{y}\)	u		v		cpu
ν	h	\(J_{x}=J_{y}\)	\(E_{\infty }(0.5)\)	\(E_{R2}(0.5)\)	\(E_{\infty }(0.5)\)	\(E_{R2}(0.5)\)	cpu
1.0	0.1	20	8.11 × 10⁻⁶	3.57 × 10⁻⁶	8.11 × 10⁻⁶	2.54 × 10⁻⁶	0.005
0.1	0.025	80	5.58 × 10⁻⁵	1.41 × 10⁻⁵	5.58 × 10⁻⁵	9.81 × 10⁻⁶	0.093
0.01	0.0125	160	6.74 × 10⁻⁴	9.98 × 10⁻⁵	6.74 × 10⁻⁴	6.67 × 10⁻⁵	0.755
0.005	0.00625	320	6.85 × 10⁻⁴	6.89 × 10⁻⁵	6.85 × 10⁻⁴	4.59 × 10⁻⁵	7.092

ν	h	\(J_{x}=J_{y}\)	u		v		cpu
ν	h	\(J_{x}=J_{y}\)	\(E_{R\infty }(2.0)\)	\(E_{R2}(2.0)\)	\(E_{R\infty }(2.0)\)	\(E_{R2}(2.0)\)	cpu
1.0	0.1	20	8.17 × 10⁻⁶	3.62 × 10⁻⁶	8.17 × 10⁻⁶	2.56 × 10⁻⁶	0.011
0.1	0.025	80	5.35 × 10⁻⁵	1.64 × 10⁻⁵	5.35 × 10⁻⁵	1.06 × 10⁻⁵	0.441
0.01	0.0125	160	6.86 × 10⁻⁴	2.12 × 10⁻⁴	6.86 × 10⁻⁴	1.18 × 10⁻⁴	3.282
0.005	0.00625	320	6.86 × 10⁻⁴	1.40 × 10⁻⁴	6.86 × 10⁻⁵	7.76 × 10⁻⁵	28.964

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