Research Article
Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
Table 1
YDM-solutions of example 1
and
different fractional-order of
.
| | | Absolute error () | Absolute error () | Absolute error () | Absolute error () |
| | 0.1 | 1 | 1.6795833810 | 5.4134672620 | 7.0667992140 | 7.0683562720 | | 2 | 1.8149655480 | 5.8498176890 | 7.6364158210 | 7.6380983850 | | 3 | 2.8167675970 | 9.0787271070 | 1.1851469400 | 1.1854080680 | | 4 | 1.5105843420 | 4.8687662520 | 6.3557405730 | 6.3571409610 | | 5 | 1.9140211660 | 6.1690839760 | 8.0531895140 | 8.0549639070 | | 0.2 | 1 | 2.2895909420 | 8.0513685670 | 2.3663474260 | 2.3207769760 | | 2 | 2.4741425310 | 8.7003460040 | 2.5570859420 | 2.5078423030 | | 3 | 3.8397888720 | 1.3502654490 | 3.9685143520 | 3.8920898230 | | 4 | 2.0592131750 | 7.2412429330 | 2.1282464510 | 2.0872612820 | | 5 | 2.6091741410 | 9.1751859580 | 2.6966443650 | 2.6447131500 | | 0.3 | 1 | 2.7579918610 | 1.0158028710 | 3.1243332140 | 1.7930063740 | | 2 | 2.9802987250 | 1.0976812670 | 3.3761688790 | 1.9375309570 | | 3 | 4.6253268490 | 1.7035656840 | 5.2397044750 | 3.0069851330 | | 4 | 2.4804837720 | 9.1359317340 | 2.8099639980 | 1.6125947570 | | 5 | 3.1429548890 | 1.1575895650 | 3.5604305020 | 2.0432758450 | | 0.4 | 1 | 3.1561849440 | 1.1987254260 | 3.7995256610 | 7.6880155060 | | 2 | 3.4105880060 | 1.2953482240 | 4.1057849520 | 8.3077050100 | | 3 | 5.2931218410 | 2.0103383830 | 6.3720449280 | 1.2893288420 | | 4 | 2.8386108190 | 1.0781101310 | 3.4172188380 | 6.9144503180 | | 5 | 3.5967281260 | 1.3660446180 | 4.3298669290 | 8.7611157430 | | 0.5 | 1 | 3.5108679510 | 1.3639899070 | 4.4195033070 | 2.3878506280 | | 2 | 3.7938600990 | 1.4739337840 | 4.7757356550 | 2.5803224010 | | 3 | 5.8879476850 | 2.2874973730 | 7.4117866660 | 4.0045765820 | | 4 | 3.1576057570 | 1.2267457630 | 3.9748145700 | 2.1475860090 | | 5 | 4.0009181120 | 1.5543768660 | 5.0363816220 | 2.7211490040 |
|
|
