Research Article
Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform
Table 1
Comparison study between HPSTM, ADM, and the exact solution when
= 1.
| x | t | HPSTM | ADM | Exact solution |
| 0 | 0.1 | 1.221333333 | 1.221333333 | 1.221402758 | 0.2 | 0.1 | 0.9999431595 | 0.9999431595 | 1.000000000 | 0.4 | 0.1 | 0.8186842160 | 0.8186842160 | 0.8187307531 | 0.6 | 0.1 | 0.6702819447 | 0.6702819447 | 0.6703200460 | 0.8 | 0.1 | 0.5487804413 | 0.5487804413 | 0.5488116361 | 1.0 | 0.1 | 0.4493037263 | 0.4493037263 | 0.4493289641 |
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