Numerical and Analytical Simulations of Nonlinear Time Fractional Advection and Burger’s Equations

Table 1

Solution comparison of RPSM, q-HATM, and Exact with different time and spaces of Example 4.1.

		RPSM	RPSM	q-HATM	q-HATM	Exact
		0.25	0.001	0.7804183	0.7795799	0.7804183	0.7795799	0.7795799
0.50	0.6077903	0.6071374		0.6077903	0.6071374	0.6071374
0.75	0.4733476	0.4728391		0.4733476	0.4728391	0.4728391
1	0.3686435	0.3682475		0.3686435	0.3682475	0.3682475
0.25	0.005	0.7857118	0.7827045	0.7857118	0.7827045	0.7827045
0.50		0.6119130	0.6095709	0.6119130	0.6095709	0.6095709
0.75		0.4765583	0.4747342	0.4765583	0.4747342	0.4747342
1		0.3711440	0.3697234	0.3711440	0.3697234	0.3697234