Theory and Modern Applications
Table 4 Absolute errors for \(\pmb{\alpha=1}\) using \(\pmb{N=4,12}\) for Example 2
x | N  = 4 | N  = 12 | Method in [ 20 ] k  = 1, M  = 5 | Method in [ 19 ] k  = 6, M  = 2 |
|---|---|---|---|---|
0.1 | 2.5206 × 10−4 | 8.3141 × 10−11 | 1.9995 × 10−5 | 1.9000 × 10−5 |
0.2 | 2.4144 × 10−4 | 9.1576 × 10−11 | 4.1680 × 10−5 | 5.9000 × 10−5 |
0.3 | 8.3597 × 10−5 | 7.5812 × 10−11 | 3.3875 × 10−6 | 2.7000 × 10−5 |
0.4 | 7.1204 × 10−5 | 1.1151 × 10−10 | 3.6962 × 10−5 | 3.4000 × 10−5 |
0.5 | 1.2313 × 10−4 | 5.5890 × 10−11 | 3.4157 × 10−5 | 8.9000 × 10−5 |
0.6 | 5.8666 × 10−5 | 7.8642 × 10−11 | 7.4330 × 10−6 | 9.0000 × 10−6 |
0.7 | 5.9751 × 10−5 | 6.2746 × 10−11 | 3.7223 × 10−5 | 6.7000 × 10−5 |
0.8 | 1.3955 × 10−4 | 5.3920 × 10−11 | 1.5230 × 10−5 | 4.3000 × 10−5 |
0.9 | 1.2508 × 10−4 | 4.8389 × 10−11 | 3.3870 × 10−5 | 3.6000 × 10−5 |