Research Article

An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model

Table 10

Solution and residual error for keeping fixed in Case 3 of drainage.

Res errorRes errorRes error

0.15.72659 × 10–−4−8.85316 × 10−201.75703 × 10–−5−9.8013 × 10−205.1638 × 10–−64.95955 × 10−21
0.21.31563 × 10–−4−1.35853 × 10−195.3263 × 10–−5−5.72227 × 10−202.0512 × 10–−51.06505 × 10−20
0.32.14014 × 10–−41.63841 × 10−201.01899 × 10–−43.02498 × 10−224.5966 × 10–−52.98796 × 10−20
0.43.02251 × 10–−4−1.77002 × 10−191.61463 × 10–−42.74106 × 10−198.1483 × 10–−58.85672 × 10−20
0.53.95057 × 10–−46.75864 × 10−202.30744 × 10–−4−2.9077 × 10−201.2703 × 10–−4−1.25093 × 10−19
0.64.91675 × 10–−4−1.24341 × 10−193.08901 × 10–−42.8962 × 10−191.8259 × 10–−47.08777 × 10−21
0.75.91581 × 10–−43.33152 × 10−203.95307 × 10–−44.4664 × 10−202.4815 × 10–−43.73471 × 10−20
0.86.94391 × 10–−4−5.4743 × 10−204.89465 × 10–−4−4.42716 × 10−203.2368 × 10–−4−2.48835 × 10−20
0.97.99811 × 10–−4−4.85706 × 10−205.90971 × 10–−4−1.45847 × 10−194.0917 × 10–−41.10885 × 10−19
1.9.07604 × 10–−4−2.09174 × 10−196.99484 × 10–−41.98754 × 10−205.0462 × 10–−42.57162 × 10−19