Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

Table 2

Numerical values when 𝛼=1.5, 𝛼=1.75, and 𝛼=2.0 for (28).

𝑥	𝑡	𝛼=1.5		𝛼=1.75		𝛼=2.0
		𝑢ADM	𝑢MPA	𝑢ADM	𝑢MPA	𝑢ADM	𝑢MPA	𝑢Exact
0.01	0.01	0.00009844537131	0.00009844533110	0.00009811632420	0.00009811625316	0.00009802960500	0.00009802960486	0.00009802960494
0.02	0.02	0.0003889833219	0.0003889809228	0.0003855443171	0.0003855410232	0.0003844675200	0.0003844675123	0.0003844675125
0.03	0.03	0.0008664034309	0.0008663775704	0.0008529749012	0.0008529437792	0.0008483364450	0.0008483363176	0.0008483363182
0.04	0.04	0.001527388854	0.001527250241	0.001492265504	0.001492112228	0.001479290880	0.001479289940	0.001479289941
0.05	0.05	0.002370102454	0.002369595331	0.002296248891	0.002295720729	0.002267578126	0.002267573695	0.002267573696
0.06	0.06	0.003393997434	0.003392539471	0.003258613123	0.003257161294	0.003204002880	0.003203987182	0.003203987184
0.07	0.07	0.004599726730	0.004596176215	0.004373819216	0.004370404791	0.004279895445	0.004279849765	0.004279849769
0.08	0.08	0.005989109024	0.005981449991	0.005637043845	0.005629880400	0.005487083520	0.005486968446	0.005486968450
0.09	0.09	0.007565131844	0.007550068937	0.007044140677	0.007030367394	0.006817867605	0.006817607941	0.006817607945
0.1	0.1	0.009331981000	0.009304436794	0.008591616573	0.008566895894	0.008265000000	0.008264462804	0.008264462810