Research Article
An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model
Table 8
Solution and residual error for
keeping
fixed in Case
2 of drainage.
| | | | | | | Res error | | Res error | | Res error |
| | 0.1 | 5.72659 × 10–−4 | −1.32727 × 10−18 | 1.75703 × 10–−4 | 3.197 × 10−18 | 5.1638 × 10–−5 | 1.29417 × 10−17 | | 0.2 | 1.31563 × 10–−3 | −2.02422 × 10−18 | 5.3263 × 10–−3 | 3.56035 × 10−18 | 2.05125 × 10–−4 | 1.22623 × 10−17 | | 0.3 | 2.14014 × 10–−3 | −1.98946 × 10−18 | 1.01899 × 10–−3 | 3.88346 × 10−18 | 4.59664 × 10–−4 | 1.24389 × 10−17 | | 0.4 | 3.02251 × 10–−3 | −2.9885 × 10−19 | 1.61463 × 10–−3 | 3.46852 × 10−18 | 8.14833 × 10–−4 | 1.35961 × 10−17 | | 0.5 | 3.95057 × 10–−3 | −1.84225 × 10−18 | 2.30744 × 10–−3 | 3.68767 × 10−18 | 1.27034 × 10–−3 | 1.31157 × 10−17 | | 0.6 | 4.91675 × 10–−3 | −2.46976 × 10−18 | 3.08901 × 10–−3 | 3.57668 × 10−18 | 1.82595 × 10–−3 | 1.37891 × 10−17 | | 0.7 | 5.91581 × 10–−3 | −2.09831 × 10−18 | 3.95307 × 10–−3 | 3.36789 × 10−18 | 2.4815 × 10–−3 | 1.30025 × 10−17 | | 0.8 | 6.94391 × 10–−3 | −1.35899 × 10−18 | 4.89465 × 10–−3 | 3.06616 × 10−18 | 3.23682 × 10–−3 | 1.40449 × 10−17 | | 0.9 | 7.99811 × 10–−3 | −5.26745 × 10−19 | 5.90971 × 10–−3 | 4.003 × 10−18 | 4.09177 × 10–−3 | 1.29653 × 10−17 | | 1. | 9.07604 × 10–−3 | −1.50223 × 10−18 | 6.99484 × 10–−3 | 2.56045 × 10−18 | 5.04625 × 10–−3 | 1.32103 × 10−17 |
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