Research Article
Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
Table 2
YDM-solutions of example 1 at
different fractional-order of
.
| | | Absolute error () | Absolute error () | Absolute error () | Absolute error () |
| | 0.1 | 1 | 5.1388035000 | 8.5868730000 | 1.2436850000 | 1.4585000000 | | 2 | 1.0422343800 | 1.7352281000 | 2.2053740000 | 2.1331000000 | | 3 | 1.4825705100 | 2.4804600000 | 3.3501640000 | 2.6843000000 | | 4 | 2.1340157300 | 3.3450207000 | 4.5130530000 | 3.3374000000 | | 5 | 2.5732507500 | 4.2223515000 | 5.6568430000 | 4.1714000000 | | 0.2 | 1 | 6.5526269000 | 1.2845443000 | 1.9524030000 | 8.9043500000 | | 2 | 1.3585147000 | 2.5823037000 | 3.9081030000 | 1.2243480000 | | 3 | 2.0617667100 | 3.8800631000 | 5.8638020000 | 1.5582620000 | | 4 | 2.7650187200 | 5.1778225000 | 7.8195020000 | 1.8921750000 | | 5 | 3.4682707200 | 6.4755819000 | 9.7752020000 | 2.2260880000 | | 0.3 | 1 | 7.5239217000 | 1.6203247000 | 2.6503270000 | 9.9570730000 | | 2 | 1.5715901300 | 3.2621458000 | 5.3069340000 | 1.2801951000 | | 3 | 2.3907880800 | 4.9039669000 | 7.9635420000 | 1.5646829000 | | 4 | 3.2099860300 | 6.5457880000 | 1.0620149000 | 1.8491707000 | | 5 | 4.0291839800 | 8.1876092000 | 1.3276756000 | 2.1336585000 | | 0.4 | 1 | 8.2762123000 | 1.9075950000 | 3.2874570000 | 5.7825882000 | | 2 | 1.7398405800 | 3.8455493000 | 6.5848290000 | 6.7463529000 | | 3 | 2.6520599300 | 5.7835036000 | 9.8822010000 | 7.7101176000 | | 4 | 3.5642792800 | 7.7214580000 | 1.3179574000 | 8.6738823000 | | 5 | 4.4764986200 | 9.6594122000 | 1.6476946000 | 9.6376470000 | | 0.5 | 1 | 8.8947364000 | 2.1627817000 | 3.8817930000 | 2.3900000000 | | 2 | 1.8806520800 | 4.3652454000 | 7.7777130000 | 3.5300000000 | | 3 | 2.8718305200 | 6.5677091000 | 1.1673633000 | 4.6600000000 | | 4 | 3.8630089800 | 8.7701729000 | 1.5569554000 | 5.8000000000 | | 5 | 4.8541874400 | 1.0972636700 | 1.9465475000 | 6.9300000000 |
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