An Efficient Parallel Approximate Algorithm for Solving Time Fractional Reaction-Diffusion Equations

Table 4

The order of time convergence of implicit, E-I, and PASE-I schemes .

	N	Implicit scheme		e − I scheme [41]		PASe − I scheme
		0.3	400	2.550088e − 06	—	9.449930e − 04	—	3.078795e − 03	—
800	7.988661e − 07		1.674522	2.857286e − 04	1.725658	9.740270e − 04	1.660332
1600	2.493529e − 07		1.679765	8.536685e − 05	1.742897	3.027275e − 04	1.685942
3200	7.761226e − 08		1.683833	2.525755e − 05	1.756962	9.422965e − 05	1.683767
6400	2.410372e − 08		1.687028	7.407991e − 06	1.769560	2.968082e − 05	1.666650
0.5	400	1.445964e − 05	—	4.636766e − 04	—	8.550850e − 03	—
	800	5.130327e − 06	1.494909	1.664891e − 04	1.477691	3.122569e − 03	1.453334
	1600	1.818307e − 06	1.496455	5.762628e − 05	1.530629	1.151259e − 03	1.439521
	3200	6.439744e − 07	1.497520	1.925467e − 05	1.581519	4.302524e − 04	1.419957
	6400	2.279541e − 07	1.498260	6.216571e − 06	1.631017	1.636565e − 04	1.394512
0.7	400	6.390559e − 05	—	6.535001e − 04	—	1.748703e − 02	—
	800	2.600370e − 05	1.297225	2.704299e − 04	1.272933	7.230957e − 03	1.274028
	1600	1.057243e − 05	1.298410	1.114194e − 04	1.279254	2.969345e − 03	1.284042
	3200	4.296485e − 06	1.299078	4.533637e − 05	1.297260	1.216933e − 03	1.286895
	6400	1.745569e − 06	1.299459	1.655564e − 05	1.453346	4.988235e − 04	1.286649