Research Article
Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients
Table 1
Comparison between analytical and numerical results of (GAB) derivative of function
.
| | Values given by Equation. (41) | Values given by Equation (40) | | Values given by Equation (41) | Values given by Equation (40) |
| 0.02 | 0.0354002 | 0.0354002 | 0.22 | 0.3421464 | 0.3421464 | 0.04 | 0.0695321 | 0.0695321 | 0.24 | 0.3695233 | 0.3695233 | 0.06 | 0.1026737 | 0.1026737 | 0.26 | 0.3964245 | 0.3964245 | 0.08 | 0.1349557 | 0.1349557 | 0.28 | 0.4228701 | 0.4228701 | 0.10 | 0.1664644 | 0.1664644 | 0.30 | 0.4488783 | 0.4488783 | 0.12 | 0.1952606 | 0.1952606 | 0.32 | 0.4744658 | 0.4744658 | 0.14 | 0.2274026 | 0.2274026 | 0.34 | 0.4996481 | 0.4996481 | 0.16 | 0.2569308 | 0.2569308 | 0.36 | 0.5244396 | 0.5244396 | 0.18 | 0.2858761 | 0.2858761 | 0.38 | 0.5488537 | 0.5488537 | 0.20 | 0.3142722 | 0.3142722 | 0.40 | 0.5729029 | 0.5729029 |
|
|