Research Article
Application of Homotopy Perturbation Method with an Auxiliary Term for Nonlinear Dropping Equations Arisen in Polymer Packaging System
Table 1
Comparison between the HPM solution and the numerical solution.
| | λ
1 | λ
2 | λ
3 | ΩHPM | Ωnum | Error, % |
| | 2 | 5 | 5 | 3.78959836 | 3.83806242 | 1.26272204 | | 2 | 5 | 10 | 4.02572209 | 4.04923784 | 0.58074509 | | 2 | 10 | 5 | 4.83451694 | 4.84579542 | 0.23274775 | | 2 | 10 | 20 | 5.18247480 | 5.22933694 | 0.89613923 | | 5 | 5 | 5 | 6.75089158 | 7.10746548 | 5.01689246 | | 5 | 5 | 10 | 7.36074401 | 7.8252235 | 5.93567059 | | 5 | 10 | 5 | 8.11755921 | 8.28280247 | 1.99501631 | | 5 | 10 | 20 | 9.15230023 | 9.42438670 | 2.88704696 | | 10 | 5 | 5 | 10.95651190 | 12.22175860 | 10.3524112 | | 10 | 5 | 10 | 12.09216730 | 13.21351496 | 8.48636917 | | 10 | 10 | 5 | 12.56277414 | 13.17320032 | 4.63384876 | | 10 | 10 | 20 | 14.66198678 | 15.63821607 | 6.24258730 |
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