Research Article
Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method
Table 2
Solution for the first three approximations with exact solution, with mesh points
, for equation (
26).
| | | | | | | Exact |
| 0.2 | 0 | 1.403184045 | 1.315919781 | 1.248964885 | 1.221333333 | 1.221402758 | 0.1 | 1.550758199 | 1.454316273 | 1.380319669 | 1.349782081 | 1.349858808 | 0.2 | 1.713852863 | 1.607268051 | 1.525489155 | 1.491739902 | 1.491824698 | 0.3 | 1.894100342 | 1.776305907 | 1.68592625 | 1.648627557 | 1.648721271 | 0.4 | 2.093304614 | 1.96312163 | 1.863236662 | 1.822015231 | 1.8221188 | 0.5 | 2.313459382 | 2.169584934 | 2.059194972 | 2.013638245 | 2.013752707 | 0.6 | 2.556768029 | 2.397762174 | 2.275762398 | 2.225414428 | 2.225540928 | 0.7 | 2.82566567 | 2.649937023 | 2.515106419 | 2.459463307 | 2.459603111 | 0.8 | 3.122843523 | 2.928633332 | 2.77962247 | 2.718127321 | 2.718281828 | 0.9 | 3.451275843 | 3.236640389 | 3.071957917 | 3.003995266 | 3.004166024 | 1 | 3.814249692 | 3.57704083 | 3.395038551 | 3.319928206 | 3.320116923 |
|
|