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Table 4 Comparison of \(E_{\infty }(t)\) and \(E_{2}(t)\) errors of EAC3 to the existing methods for Example 4.2 with \(h=0.01\) and \(\nu =0.005\), \(\sigma =100\) at \(t=1.0\)

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

\(J_{x}\)EAC3Tamsir [35]Mittal [29]
\(E_{\infty }(t)\)\(E_{2}(t)\)\(E_{\infty }(t)\)\(E_{2}(t)\)\(E_{\infty }(t)\)\(E_{2}(t)\)
108.461 × 10−81.416 × 10−81.467 × 10−76.330 × 10−84.88 × 10−73.455 × 10−7
206.038 × 10−99.009 × 10−103.029 × 10−81.014 × 10−81.431 × 10−71.012 × 10−7
404.251 × 10−104.654 × 10−113.956 × 10−91.207 × 10−95.668 × 10−84.003 × 10−8
805.328 × 10−114.149 × 10−128.861 × 10−111.322 × 10−103.499 × 10−84.002 × 10−8