Research Article
Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients
Table 5
Comparison between numerical solutions corresponding to different fractional derivatives with the nonsingular kernel.
| Values of time | (GAB)-fractional derivative for | (AB)-fractional derivative for | (CF)-fractional derivative for |
| 0.10 | 0.029000 | 0.028000 | 0.033000 | 0.20 | 0.025000 | 0.024000 | 0.055000 | 0.30 | 0.020000 | 0.019000 | 0.022000 | 0.40 | 0.016000 | 0.015000 | 0.017000 | 0.50 | 0.016000 | 0.015000 | 0.017000 | 0.60 | 0.009886 | 0.009433 | 0.011000 | 0.70 | 0.008096 | 0.007726 | 0.009024 | 0.80 | 0.006768 | 0.006460 | 0.007555 | 0.90 | 0.005773 | 0.005509 | 0.006451 | 1.00 | 0.005016 | 0.004787 | 0.005610 |
|
|