Research Article
A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation
Table 2
Results of Example
1 at
for
.
| | | [31] | Present | Exact | Abs. error | Abs. error | | | [31] | Present |
| 0.25 | 0.10 | 0.9812176 | 0.9579127 | 0.9510565 | 3.016115e − 02 | 6.856230e − 03 | 0.30 | 0.6464059 | 0.5680175 | 0.5877853 | 5.862068e − 02 | 1.976778e − 02 | 0.50 | −3.075e − 59 | −4.5661e − 16 | 6.1232e − 17 | 3.304634e − 59 | 5.178393e − 16 | 0.70 | −0.664067 | −0.5680175 | −0.5877853 | 5.862068e − 02 | 1.976778e − 02 | 0.90 | −9.812136 | −0.9579127 | −0.9510565 | 3.016115e − 02 | 6.856230e − 03 |
| 0.75 | 0.10 | 0.9319893 | 0.9643378 | 0.9510565 | 1.906739e − 02 | 1.328133e − 02 | 0.30 | 0.5418891 | 0.5746742 | 0.5877853 | 4.589585e − 02 | 1.311105e − 02 | 0.50 | 6.120e − 59 | −6.1287e − 15 | 6.1232e − 17 | 5.890384e − 59 | 6.189963e − 15 | 0.70 | −0.541856 | −0.5746742 | −0.5877853 | 4.589585e − 02 | 1.311105e − 02 | 0.90 | −0.931992 | −0.9643378 | −0.9510565 | 1.906739e − 02 | 1.328133e − 02 |
| 0.9 | 0.10 | 0.9146401 | 0.9628647 | 0.9510565 | 3.641245e − 02 | 1.180823e − 02 | 0.30 | 0.5061482 | 0.5757488 | 0.5877853 | 8.163693e − 02 | 1.203643e − 02 | 0.50 | −1.950e − 59 | 1.9096e − 15 | 6.1232e − 17 | 2.179615e − 59 | 1.848389e − 15 | 0.70 | −0.506129 | −0.5757488 | −0.5877853 | 8.163693e − 02 | 1.203643e − 02 | 0.90 | −0.914626 | −0.9628647 | −0.9510565 | 3.641245e − 02 | 1.180823e − 02 |
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