Theory and Modern Applications
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 \(t=1.0\)
\(J_{x}\) | EAC3 | Tamsir [35] | Mittal [29] | |||
|---|---|---|---|---|---|---|
\(E_{\infty }(t)\) | \(E_{2}(t)\) | \(E_{\infty }(t)\) | \(E_{2}(t)\) | \(E_{\infty }(t)\) | \(E_{2}(t)\) | |
10 | 8.461 × 10−8 | 1.416 × 10−8 | 1.467 × 10−7 | 6.330 × 10−8 | 4.88 × 10−7 | 3.455 × 10−7 |
20 | 6.038 × 10−9 | 9.009 × 10−10 | 3.029 × 10−8 | 1.014 × 10−8 | 1.431 × 10−7 | 1.012 × 10−7 |
40 | 4.251 × 10−10 | 4.654 × 10−11 | 3.956 × 10−9 | 1.207 × 10−9 | 5.668 × 10−8 | 4.003 × 10−8 |
80 | 5.328 × 10−11 | 4.149 × 10−12 | 8.861 × 10−11 | 1.322 × 10−10 | 3.499 × 10−8 | 4.002 × 10−8 |