Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 9 Comparison of numerical results from EAC3 and AB3 for Example 4.5

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

ν	h	\(J_{x}=J_{y} \)	EAC3			AB3
ν	h	\(J_{x}=J_{y} \)	\(E_{\infty }(0.05)\)	\(E_{R2}(0.05)\)	cpu	\(E_{\infty }(0.05)\)	\(E_{R2}(0.05)\)	cpu
1.0	0.005	40	4.92 × 10⁻¹⁰	4.89 × 10⁻¹⁰	0.012	1.66 × 10⁻⁸	1.38 × 10⁻⁸	0.014
0.1	0.0025	80	1.85 × 10⁻⁶	7.59 × 10⁻⁷	0.066	3.45 × 10⁻⁵	1.50 × 10⁻⁶	0.079
0.01	0.00125	320	5.11 × 10⁻⁴	6.96 × 10⁻⁵	2.156	1.10 × 10⁻³	1.33 × 10⁻⁴	2.913

ν	h	\(J_{x}=J_{y} \)	EAC3			AB3
ν	h	\(J_{x}=J_{y} \)	\(E_{\infty }(1.0)\)	\(E_{R2}(1.0)\)	cpu	\(E_{\infty }(1.0)\)	\(E_{R2}(1.0)\)	cpu
1.0	0.005	40	3.26 × 10⁻⁹	1.74 × 10⁻⁹	0.182	4.09 × 10⁻⁸	2.05 × 10⁻⁸	0.225
0.1	0.0025	160	1.16 × 10⁻⁶	1.11 × 10⁻⁷	5.124	4.52 × 10⁻⁶	4.61 × 10⁻⁷	6.428
0.01	0.00125	320	6.86 × 10⁻⁵	7.52 × 10⁻⁷	47.232	1.83 × 10⁻⁴	1.16 × 10⁻⁶	47.937

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