Theory and Modern Applications
Table 7 Comparing absolute errors for pervious work
|  | Bessel collocation method [42] | Shifted Chebyshev collocation method [43] | Adomian decomposition method [44] | He’s homotopy perturbation method [45] | Present method |
|---|---|---|---|---|---|
\(\tau _{i}\) | \(e_{10}\) | \(e_{10}\) | \(e_{8}\) | \(e_{8}\) | \(e_{10}\) |
0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 2.21096 ×10−8 |
0.2 | 6.5844 ×10−7 | 4.75702 ×10−8 | 1.5521 ×10−5 | 1.8643 ×10−4 | 1.44351 ×10−8 |
0.4 | 4.4035 ×10−7 | 6.02884 ×10−7 | 6.4928 ×10−3 | 1.9497 ×10−2 | 9.92748 ×10−9 |
0.6 | 2.9727 ×10−7 | 7.12326 ×10−7 | 2.1100 ×10−1 | 2.8160 ×10−1 | 7.10665 ×10−9 |
0.8 | 1.4041 ×10−7 | 3.90601 ×10−7 | 2.433800 | 1.827000 | 3.45884 ×10−9 |
1.0 | 2.3094 ×10−5 | 1.46765 ×10−5 | 15.99100 | 7.682900 | 2.21096 ×10−8 |