Research Article
Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
Table 3
YDM-solutions of example 2 at
different fractional-order of
.
| | | Absolute error () | Absolute error () | Absolute error () | Absolute error () |
| | 0.1 | 1 | 5.6770988000 | 8.7119340000 | 1.1548840000 | 1.6326000000 | | 2 | 5.3834512000 | 8.4544080000 | 9.5379000000 | 2.0407510200 | | 3 | 5.0898036000 | 8.1968820000 | 7.5269600000 | 4.0814857200 | | 4 | 4.7961560000 | 7.9393560000 | 5.5160200000 | 6.1222204100 | | 5 | 4.5025084000 | 7.6818300000 | 3.5050800000 | 8.1629551100 | | 0.2 | 1 | 7.5124132000 | 1.3109744000 | 1.9589970000 | 2.2260880000 | | 2 | 6.9925200000 | 1.2577593000 | 1.5557000000 | 4.3444869600 | | 3 | 6.4726268000 | 1.2045442000 | 1.1524030000 | 8.6867478200 | | 4 | 5.9527336000 | 1.1513291000 | 7.4910600000 | 1.3029008690 | | 5 | 5.4328404000 | 1.0981140000 | 3.4580900000 | 1.7371269560 | | 0.3 | 1 | 8.8600372900 | 1.6633175900 | 2.6628869000 | 4.2673170000 | | 2 | 8.1319795000 | 1.5818212000 | 2.0566070000 | 7.2886243900 | | 3 | 7.4039217000 | 1.5003248000 | 1.4503270000 | 1.4534575610 | | 4 | 6.6758639000 | 1.4188284000 | 8.4404700000 | 2.1780526830 | | 5 | 5.9478061000 | 1.3373320000 | 2.3776700000 | 2.9026478050 | | 0.4 | 1 | 9.9681746700 | 1.9683136700 | 3.3072887000 | 3.8550588000 | | 2 | 9.0421934000 | 1.8579543000 | 2.4973720000 | 1.1668329410 | | 3 | 8.1162122000 | 1.7475950000 | 1.6874560000 | 2.2951152940 | | 4 | 7.1902310000 | 1.6372357000 | 8.7754000000 | 3.4233976470 | | 5 | 6.2642497000 | 1.5268763000 | 6.7623000000 | 4.5516800000 | | 0.5 | 1 | 1.0928832650 | 2.2421458500 | 3.9100485000 | 1.2600000000 | | 2 | 9.8117844000 | 2.1024637000 | 2.8959200000 | 1.0050239900 | | 3 | 8.6947361000 | 1.9627815000 | 1.8817910000 | 2.0100478600 | | 4 | 7.5776879000 | 1.8230994000 | 8.6766300000 | 3.0150717200 | | 5 | 6.4606397000 | 1.6834173000 | 1.4646500000 | 4.0200955900 |
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