Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations

Table 2

Numerical values when α = 1.5, 1.75, and 2.0 for (37).

𝑡	𝑥	𝛼=1.5		𝛼=1.75		𝛼=2.0
		FVIM	VIM	FVIM	VIM	FVIM	VIM	Exact
0.25	0.25	0.26622298	0.26599883	0.26593959	0.26590628	0.26578827	0.26578827	0.26578827
	0.50	0.56489190	0.56399533	0.56375836	0.56362512	0.56315308	0.56315308	0.56315308
	0.75	0.89600678	0.89398950	0.89345630	0.89315652	0.89209443	0.89209443	0.89209443
	1.00	1.25956762	1.25598133	1.25503343	1.25450047	1.25261232	1.25261232	1.25261232
0.50	0.25	0.28474208	0.28393355	0.28340402	0.28328354	0.28256846	0.28256846	0.28256846
	0.50	0.63896831	0.63573419	0.63361610	0.63313417	0.63027383	0.63027383	0.63027383
	0.75	1.06267869	1.05540192	1.05063622	1.04955189	1.04311611	1.04311611	1.04311611
	1.00	1.55587323	1.54293675	1.53446439	1.53253670	1.52109530	1.52109530	1.52109531
0.75	0.25	0.30690489	0.30527637	0.30361709	0.30335993	0.30139478	0.30139478	0.30139480
	0.50	0.72761955	0.72110549	0.71446834	0.71343972	0.70557913	0.70557913	0.70557918
	0.75	1.26214400	1.24748736	1.23255378	1.23023936	1.21255304	1.21255304	1.21255316
	1.00	1.91047821	1.88442198	1.85787338	1.85375886	1.82231652	1.82231652	1.82231673