Research Article
Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients
Table 4
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 | 0.026000 | 0.025000 | 0.029000 | 0.20 | 0.022000 | 0.021000 | 0.024000 | 0.30 | 0.018000 | 0.017000 | 0.041000 | 0.40 | 0.014000 | 0.013000 | 0.015000 | 0.50 | 0.014000 | 0.013000 | 0.015000 | 0.60 | 0.008921 | 0.008299 | 0.009537 | 0.70 | 0.007306 | 0.006798 | 0.007826 | 0.80 | 0.006108 | 0.005684 | 0.006553 | 0.90 | 0.005210 | 0.004848 | 0.005595 | 1.00 | 0.004527 | 0.004212 | 0.004865 |
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