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 errorRes errorRes error

0.15.87208 × 10–−6−9.076 × 10−205.87208 × 10–−61.16701 × 10−195.87208 × 10–−66.48938 × 10−21
0.22.26882 × 10–−56.62623 × 10−202.26882 × 10–−5−3.50514 × 10−202.26882 × 10–−5−1.64872 × 10−19
0.35.0024 × 10–−57.16925 × 10−205.0024 × 10–−5−5.38787 × 10−205.0024 × 10–−5−5.48153 × 10−20
0.48.76616 × 10–−56.17061 × 10−208.76616 × 10–−54.81294 × 10−208.76616 × 10–−5−2.07791 × 10−19
0.51.35451 × 10–−4−7.89358 × 10−201.35451 × 10–−48.88535 × 10−201.35451 × 10–−46.49314 × 10−20
0.61.9328 × 10–−45.62103 × 10−201.9328 × 10–−4−8.1769 × 10−201.9328 × 10–−4−1.40755 × 10−20
0.72.61056 × 10–−42.13652 × 10−202.61056 × 10–−42.46311 × 10−192.61056 × 10–−48.01669 × 10−21
0.83.38702 × 10–−44.3926 × 10−203.38702 × 10–−4−3.74249 × 10−203.38702 × 10–−4−1.55483 × 10−19
0.94.26153 × 10–−4−1.25871 × 10−194.26153 × 10–−4−4.78429 × 10−204.26153 × 10–−4−1.57049 × 10−19
1.5.2335 × 10–−47.27423 × 10−205.2335 × 10–−43.94566 × 10−205.2335 × 10–−4−5.88772 × 10−20