Research Article
Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations
Table 1
Numerical values when
α = 0.5, 0.75, and 1.0 for (
27).
| | | | | | FVIM | VIM | FVIM | VIM | FVIM | VIM | Exact |
| 0.25 | 0.25 | 0.14640842 | 0.14180807 | 0.17120511 | 0.16836254 | 0.19264006 | 0.19264006 | 0.19267840 | 0.50 | 0.28371388 | 0.27479919 | 0.33176551 | 0.32625710 | 0.37330270 | 0.37330270 | 0.37337698 | 0.75 | 0.40337938 | 0.39070464 | 0.47169834 | 0.46386658 | 0.53075518 | 0.53075518 | 0.53086080 | 1.00 | 0.49796471 | 0.48231796 | 0.58230325 | 0.57263509 | 0.65520788 | 0.65520788 | 0.65533826 | 0.50 | 0.25 | 0.10790621 | 0.10407459 | 0.13273945 | 0.13274483 | 0.14947323 | 0.14947323 | 0.15005809 | 0.50 | 0.20910333 | 0.20167832 | 0.25722580 | 0.25723624 | 0.28965293 | 0.28965293 | 0.29078629 | 0.75 | 0.29729942 | 0.28674267 | 0.36571910 | 0.36573394 | 0.41182342 | 0.41182342 | 0.41343481 | 1.00 | 0.36701087 | 0.35397875 | 0.45147375 | 0.45149207 | 0.50838872 | 0.50838872 | 0.51037795 | 0.75 | 0.25 | 0.07031034 | 0.10263146 | 0.10053521 | 0.11682841 | 0.11403776 | 0.11403776 | 0.11686536 | 0.50 | 0.13624913 | 0.19888179 | 0.19481962 | 0.22639299 | 0.22098521 | 0.22098521 | 0.22646459 | 0.75 | 0.19371660 | 0.28276661 | 0.27699110 | 0.32188155 | 0.31419287 | 0.31419287 | 0.32198335 | 1.00 | 0.23913971 | 0.34907038 | 0.34194061 | 0.39735708 | 0.38786553 | 0.38786553 | 0.39748275 |
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