Research Article
An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model
Table 9
Solution and residual error for
keeping
fixed in Case
3 of drainage.
| | | | | | | Res error | | Res error | | Res error |
| 0.1 | 5.87208 × 10–−6 | −9.076 × 10−20 | 5.87208 × 10–−6 | 1.16701 × 10−19 | 5.87208 × 10–−6 | 6.48938 × 10−21 | 0.2 | 2.26882 × 10–−5 | 6.62623 × 10−20 | 2.26882 × 10–−5 | −3.50514 × 10−20 | 2.26882 × 10–−5 | −1.64872 × 10−19 | 0.3 | 5.0024 × 10–−5 | 7.16925 × 10−20 | 5.0024 × 10–−5 | −5.38787 × 10−20 | 5.0024 × 10–−5 | −5.48153 × 10−20 | 0.4 | 8.76616 × 10–−5 | 6.17061 × 10−20 | 8.76616 × 10–−5 | 4.81294 × 10−20 | 8.76616 × 10–−5 | −2.07791 × 10−19 | 0.5 | 1.35451 × 10–−4 | −7.89358 × 10−20 | 1.35451 × 10–−4 | 8.88535 × 10−20 | 1.35451 × 10–−4 | 6.49314 × 10−20 | 0.6 | 1.9328 × 10–−4 | 5.62103 × 10−20 | 1.9328 × 10–−4 | −8.1769 × 10−20 | 1.9328 × 10–−4 | −1.40755 × 10−20 | 0.7 | 2.61056 × 10–−4 | 2.13652 × 10−20 | 2.61056 × 10–−4 | 2.46311 × 10−19 | 2.61056 × 10–−4 | 8.01669 × 10−21 | 0.8 | 3.38702 × 10–−4 | 4.3926 × 10−20 | 3.38702 × 10–−4 | −3.74249 × 10−20 | 3.38702 × 10–−4 | −1.55483 × 10−19 | 0.9 | 4.26153 × 10–−4 | −1.25871 × 10−19 | 4.26153 × 10–−4 | −4.78429 × 10−20 | 4.26153 × 10–−4 | −1.57049 × 10−19 | 1. | 5.2335 × 10–−4 | 7.27423 × 10−20 | 5.2335 × 10–−4 | 3.94566 × 10−20 | 5.2335 × 10–−4 | −5.88772 × 10−20 |
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