Research Article
Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations
Table 4
1st order solution compared with three terms of VIM at
, for FZK (3, 3, 3).
| | | Solution | Absolute errors | | | | VIM [37] solution | OHAM solution | Exact solution | OHAM error |
| | 0.1 | 0.1 | 0.2 | 5.00091 × 10−5 | 5.00092 × 10−5 | 4.99592 × 10−5 | 4.99519×10–8 | | 0.3 | 5.00091 × 10−5 | 5.00091 × 10−5 | 4.99342 × 10−5 | 7.49278×10–8 | | 0.4 | 5.00091 × 10−5 | 5.00091 × 10−5 | 4.99092 × 10−5 | 9.99037×10–8 |
| | 0.6 | 0.6 | 0.2 | 3.02003 × 10−4 | 3.02004 × 10−4 | 3.01953 × 10−4 | 5.08987×10–8 | | 0.3 | 3.02003 × 10−4 | 3.02004 × 10−4 | 3.01927 × 10−4 | 7.63479×10–8 | | 0.4 | 3.02003 × 10−4 | 3.02004 × 10−4 | 3.01902 × 10−4 | 1.01797×10–7 |
| | 0.9 | 0.9 | 0.2 | 4.56780 × 10−4 | 4.5678 × 10−4 | 4.56728 × 10−4 | 5.21227×10–8 | | 0.3 | 4.56780 × 10−4 | 4.5678 × 10−4 | 4.56702 × 10−4 | 7.81839×10–8 | | 0.4 | 4.56780 × 10−4 | 4.5678 × 10−4 | 4.56676 × 10−4 | 1.04245×10–7 |
|
|
