Research Article
A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation
Table 5
Approximate solutions and absolute errors of Example
3 at
, for values of
and
.
| | | Present | Exact | Abs. error |
| 0.01 | 0.10 | 0.1010647 | 0.0747999 | 2.62648e − 02 | 0.30 | 0.2387890 | 0.1984250 | 4.03640e − 02 | 0.70 | 0.2377580 | 0.2073367 | 3.04213e − 02 | 0.90 | 0.0404055 | 0.0803122 | 3.99067e − 02 |
| 0.001 | 0.10 | 0.0802966 | 0.0747999 | 5.49670e − 03 | 0.30 | 0.1982625 | 0.1984250 | 1.62500e − 04 | 0.70 | 0.2040926 | 0.2073367 | 3.24410e − 03 | 0.90 | 0.0842372 | 0.0803122 | 3.92490e − 03 |
| 0.0001 | 0.10 | 0.0713870 | 0.0747999 | 3.41300e − 03 | 0.30 | 0.2004805 | 0.1984250 | 2.05560e − 03 | 0.70 | 0.2070095 | 0.2073367 | 3.27100e − 04 | 0.90 | 0.0751544 | 0.0803122 | 5.15780e − 03 |
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