Research Article
Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform
Table 2
comparison of exact solution, our methods’ solution, and Absolute Error (AE) of Example
3.
| | Exact solution | Our methods’ solution | AE of our methods | AE of our methods | AE of our methods | | | | | | |
| 0 | 0.505025083500000 | 0.505025083500000 | 0.0000000000E+00 | 2.5480900000E-05 | 2.6059160000E-04 | 0.1 | 0.558139035000000 | 0.558139035100000 | 1.0000000000E-10 | 2.8160900000E-05 | 2.8799840000E-04 | 0.2 | 0.616839030000000 | 0.616839029800000 | 2.0000000000E-10 | 3.1122300000E-05 | 3.1828710000E-04 | 0.3 | 0.681712557000000 | 0.681712557200000 | 2.0000000000E-10 | 3.4395800000E-05 | 3.5176210000E-04 | 0.4 | 0.753408892500000 | 0.753408892700000 | 2.0000000000E-10 | 3.8013200000E-05 | 3.8875720000E-04 | 0.5 | 0.832645597500000 | 0.832645597600000 | 1.0000000000E-10 | 4.2011000000E-05 | 4.2964300000E-04 | 0.6 | 0.920215699500000 | 0.920215699100000 | 4.0000000000E-10 | 4.6428800000E-05 | 4.7482850000E-04 | 0.7 | 1.016995630000000 | 1.016995629000000 | 1.0000000000E-09 | 5.1311000000E-05 | 5.2476600000E-04 | 0.8 | 1.123953994000000 | 1.123953993000000 | 1.0000000000E-09 | 5.6708000000E-05 | 5.7995600000E-04 | 0.9 | 1.242161266000000 | 1.242161267000000 | 1.0000000000E-09 | 6.2673000000E-05 | 6.4095200000E-04 | 1.0 | 1.372800508000000 | 1.372800507000000 | 1.0000000000E-09 | 6.9263000000E-05 | 7.0836100000E-04 |
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