Research Article
Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations
Table 2
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
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| | Solution for | Absolute errors for | | | | OHAM solution | Exact solution | PIA [34] error | RPS [34] error | OHAM error |
| | 0.1 | 0.1 | 0.2 | 5.3966 × 10−5 | 5.39388 × 10−5 | 3.85217 × 10−7 | 3.85217 × 10−7 | 2.71884 × 10−8 | | 0.3 | 5.39248 × 10−5 | 5.38841 × 10−5 | 5.75911 × 10−7 | 5.75912 × 10−7 | 4.07394 × 10−8 | | 0.4 | 5.38837 × 10−5 | 5.38294 × 10−5 | 7.65359 × 10−7 | 7.65352 × 10−7 | 5.42615 × 10−8 |
| | 0.6 | 0.6 | 0.2 | 3.02967 × 10−3 | 3.03651 × 10−3 | 4.66337 × 10−5 | 4.66389 × 10−5 | 6.83433 × 10−6 | | 0.3 | 3.02553 × 10−3 | 3.03578 × 10−3 | 6.86056 × 10−5 | 6.86314 × 10−5 | 1.02517 × 10−5 | | 0.4 | 3.02138 × 10−3 | 3.03505 × 10−3 | 8.98263 × 10−5 | 8.99046 × 10−5 | 1.36692 × 10−5 |
| | 0.9 | 0.9 | 0.2 | 1.14455 × 10−2 | 1.1537 × 10−2 | 5.12131 × 10−4 | 5.14241 × 10−4 | 9.14704 × 10−5 | | 0.3 | 1.13973 × 10−2 | 1.15345 × 10−2 | 7.38186 × 10−4 | 7.48450 × 10−4 | 1.37206 × 10−4 | | 0.4 | 1.13492 × 10−2 | 1.15321 × 10−2 | 9.57942 × 10−4 | 9.89139 × 10−4 | 1.82943 × 10−4 |
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