Theory and Modern Applications
Table 4 Comparison between the absolute errors for Example 2
x | Method in [36] | Method in [37] ( \(\boldsymbol {|\phi_{2}-y|}\) ) | Method in [37] ( \(\boldsymbol {|\psi_{2}-y|}\) ) | GJCOMM ( N  = 4) |
|---|---|---|---|---|
0.0 | 0.0 | 0.0 | 0.0 | 2.55351 × 10−15 |
0.2 | 1.79 × 10−4 | 4.1883 × 10−4 | 4.1012 × 10−6 | 6.94449 × 10−8 |
0.4 | 3.25 × 10−4 | 1.2786 × 10−3 | 1.2574 × 10−5 | 6.30457 × 10−8 |
0.6 | 4.08 × 10−4 | 1.9971 × 10−3 | 1.9762 × 10−5 | 4.48952 × 10−8 |
0.8 | 4.02 × 10−4 | 2.0753 × 10−3 | 2.0714 × 10−5 | 6.49632 × 10−8 |
1.0 | 2.94 × 10−4 | 1.3038 × 10−3 | 1.3163 × 10−5 | 1.47025 × 10−8 |
1.2 | - | 1.8581 × 10−4 | 1.9026 × 10−6 | 2.10697 × 10−8 |
4-e | 2 × 10−9 | 2.4400 × 10−15 | 0 | 7.77156 × 10−16 |