Research Article
Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations
Table 3
Numerical values when
α = 0.5, 0.75, and 1.0 for (
44).
| | | | | | FVIM | VIM | FVIM | VIM | FVIM | VIM | Exact |
| 0.25 | 0.25 | 0.12422501 | 0.12306887 | 0.09230374 | 0.09291265 | 0.06250058 | 0.06250058 | 0.062500 | 0.50 | 0.24845002 | 0.24613773 | 0.18460748 | 0.18582531 | 0.12500117 | 0.12500117 | 0.125000 | 0.75 | 0.37267504 | 0.36920660 | 0.27691122 | 0.27873796 | 0.18750175 | 0.18750175 | 0.187500 | 1.00 | 0.49690005 | 0.49227547 | 0.36921496 | 0.37165062 | 0.25000234 | 0.25000234 | 0.250000 | 0.50 | 0.25 | 0.18377520 | 0.19472445 | 0.15148283 | 0.15611713 | 0.12507592 | 0.12507592 | 0.125000 | 0.50 | 0.36755040 | 0.38944890 | 0.30296566 | 0.31223426 | 0.25015184 | 0.25015184 | 0.250000 | 0.75 | 0.55132559 | 0.58417334 | 0.45444848 | 0.46835139 | 0.37522776 | 0.37522776 | 0.375000 | 1.00 | 0.73510079 | 0.77889779 | 0.60593131 | 0.62446853 | 0.50030368 | 0.50030368 | 0.500000 | 0.75 | 0.25 | 0.27227270 | 0.22829012 | 0.21407798 | 0.20170432 | 0.18881843 | 0.18881843 | 0.187500 | 0.50 | 0.54454540 | 0.45658025 | 0.42815596 | 0.40340864 | 0.37763687 | 0.37763687 | 0.375000 | 0.75 | 0.81681810 | 0.68487037 | 0.64223394 | 0.60511296 | 0.56645530 | 0.56645530 | 0.562500 | 1.00 | 1.08909080 | 0.91316050 | 0.85631192 | 0.80681728 | 0.75527373 | 0.75527373 | 0.750000 |
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