New High-Order Compact ADI Algorithms for 3D Nonlinear Time-Fractional Convection-Diffusion Equation

Table 1

𝑇=1,𝑁=40, and 𝛼=0.5 with different 𝑀 for Problem 5.

	𝑀	10	20	30	40	50
Algorithm 1	𝐿^∞-error	8.5329𝑒−1	3.9114𝑒−1	2.1763𝑒−1	1.4039𝑒−1𝑒	9.9234𝑒−2
	𝐿^∞-rate	—	1.1253	1.4459	1.5239	1.5547
	𝐿^2-error	2.7920𝑒−1	1.2721𝑒−1	7.0539𝑒−2	4.5420𝑒−2	3.2070𝑒−2
	𝐿^2-rate	—	1.1341	1.4544	1.5302	1.5596
Algorithm 2	𝐿^∞-error	1.6081𝑒−1	2.4544𝑒−2	8.4991𝑒−3	4.0461𝑒−3	2.2764𝑒−3
	𝐿^∞-rate	—	2.7119	2.6156	2.5800	2.5776
	𝐿^2-error	5.2043𝑒−2	7.8663𝑒−3	2.7077𝑒−3	1.2840𝑒−3	7.2062𝑒−3
	𝐿^2-rate	—	2.7259	2.6303	2.5936	2.5884