Research Article
Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations
Table 3
1st order approximate solution obtained by the OHAM in comparison with 3 terms approximate solution obtained by PIA and RPS for FZK (2, 2, 2) at
| | | | | | | | PIA [36] solution | RPS [36] solution | OHAM solution | PIA [36] solution | RPS [36] solution | OHAM solution |
| | 0.1 | 0.1 | 0.2 | 5.31854 × 10−5 | 5.31244 × 10−5 | 5.39424 × 10−5 | 5.32747 × 10−5 | 5.32479 × 10−5 | 5.3953 × 10−5 | | 0.3 | 5.28631 × 10−5 | 5.28410 × 10−5 | 5.39094 × 10−5 | 5.29757 × 10−5 | 5.29675 × 10−5 | 5.39191 × 10−5 | | 0.4 | 5.25777 × 10−5 | 5.25897 × 10−5 | 5.38798 × 10−5 | 5.27039 × 10−5 | 5.27119 × 10−5 | 5.38881 × 10−5 |
| | 0.6 | 0.6 | 0.2 | 2.95493 × 10−3 | 2.95185 × 10−3 | 3.0273 × 10−3 | 2.96356 × 10−3 | 2.96251 × 10−3 | 3.02837 × 10−3 | | 0.3 | 2.92662 × 10−3 | 2.92709 × 10−3 | 3.02397 × 10−3 | 2.93717 × 10−3 | 2.93780 × 10−3 | 3.02496 × 10−3 | | 0.4 | 2.90307 × 10−3 | 2.90522 × 10−3 | 3.02099 × 10−3 | 2.91448 × 10−3 | 2.91561 × 10−3 | 3.02182 × 10−3 |
| | 0.9 | 0.9 | 0.2 | 1.06822 × 10−2 | 1.05522 × 10−2 | 1.14179 × 10−2 | 1.07716 × 10−2 | 1.07143 × 10−2 | 1.14303 × 10−2 | | 0.3 | 1.04487 × 10−2 | 1.01199 × 10−2 | 1.13792 × 10−2 | 1.05488 × 10−2 | 1.03695 × 10−2 | 1.13907 × 10−2 | | 0.4 | 9.02777 × 10−2 | 9.60606 × 10−2 | 1.13447 × 10−2 | 1.03736 × 10−2 | 9.96743 × 10−2 | 1.13543 × 10−2 |
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