Research Article
Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method
Table 1
Solution for the first three approximations with exact solution, with mesh points
, for equation (
18).
| | | | | | | Exact |
| 0.2 | 0 | 0 | 0 | 0 | 0 | 0 | 0.1 | -0.1480375 | -0.136454922 | -0.128120827 | -0.1248 | -0.125 | 0.2 | -0.296074999 | -0.272909844 | -0.256241654 | -0.2496 | -0.25 | 0.3 | -0.444112499 | -0.409364766 | -0.384362481 | -0.3744 | -0.375 | 0.4 | -0.592149999 | -0.545819688 | -0.512483308 | -0.4992 | -0.5 | 0.5 | -0.740187498 | -0.68227461 | -0.640604134 | -0.624 | -0.625 | 0.6 | -0.888224998 | -0.818729532 | -0.768724961 | -0.7488 | -0.75 | 0.7 | -1.036262498 | -0.955184454 | -0.896845788 | -0.8736 | -0.875 | 0.8 | -1.184299998 | -1.091639376 | -1.024966615 | -0.9984 | -1 | 0.9 | -1.332337497 | -1.228094299 | -1.153087442 | -1.1232 | -1.125 | 1 | -1.480374997 | -1.364549221 | -1.281208269 | -1.248 | -1.25 |
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