Research Article
Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method
Table 3
Solution for the first three approximations with exact solution, with mesh points
, for equation (
34).
| | | | | | | Exact |
| 0.2 | 0 | 0 | 0 | 0 | 0 | 0 | 0.1 | 0.020005412 | 0.020004087 | 0.020003077 | 0.020002667 | 0.020002667 | 0.2 | 0.040043345 | 0.04003272 | 0.04002463 | 0.040021347 | 0.040021347 | 0.3 | 0.060146586 | 0.060110585 | 0.060083207 | 0.060072104 | 0.060072104 | 0.4 | 0.080348451 | 0.080262642 | 0.080197497 | 0.080171104 | 0.080171105 | 0.5 | 0.100683062 | 0.100514271 | 0.100386409 | 0.10033467 | 0.100334672 | 0.6 | 0.121185631 | 0.120891415 | 0.120669137 | 0.120579331 | 0.120579337 | 0.7 | 0.141892761 | 0.141420729 | 0.141065245 | 0.140921878 | 0.140921895 | 0.8 | 0.162842761 | 0.162129738 | 0.161594737 | 0.161379417 | 0.161379461 | 0.9 | 0.184075989 | 0.183047001 | 0.182278142 | 0.181969427 | 0.181969529 | 1 | 0.20563521 | 0.204202283 | 0.203136596 | 0.202709821 | 0.202710036 |
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