Research Article
The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations
Table 1
Numerical values for approximate solutions of (
49) via ADM, VIM, and HPSTM.
| | | | ADM [29] | VIM [29] | HPSTM | Exact |
| 0.25 | 0.5 | 0.5 | 0.68163209 | 0.68163219 | 0.681639 | 0.681639 | 0.5 | 1.0 | 0.94898215 | 0.94898245 | 0.948985 | 0.948985 | 1.0 | 0.5 | 0.94898215 | 0.94898245 | 0.948985 | 0.948985 | 1.0 | 1.0 | 0.98398623 | 0.98398643 | 0.983986 | 0.983986 |
| 0.5 | 0.5 | 0.5 | 0.47942925 | 0.47942985 | 0.479425 | 0.479426 | 0.5 | 1.0 | 0.84147331 | 0.84147361 | 0.841471 | 0.841471 | 1.0 | 0.5 | 0.84147331 | 0.84147361 | 0.841471 | 0.841471 | 1.0 | 1.0 | 0.99749205 | 0.99749235 | 0.997495 | 0.997495 |
| 0.75 | 0.5 | 0.5 | 0.2474231 | 0.2474232 | 0.247402 | 0.247404 | 1.0 | 1.0 | 0.68163452 | 0.68163456 | 0.681636 | 0.681639 | 0.5 | 0.5 | 0.68163453 | 0.68163456 | 0.681636 | 0.681639 | 1.0 | 1.0 | 0.94898533 | 0.94898532 | 0.948982 | 0.948985 |
| 1.0 | 0.5 | 0.5 | | | | | 1.0 | 1.0 | 0.4794205 | 0.4794215 | 0.479401 | 0.479426 | 0.5 | 0.5 | 0.4794205 | 0.4794215 | 0.479401 | 0.479426 | 1.0 | 1.0 | 0.8414352 | 0.8414582 | 0.841448 | 0.841448 |
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