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

Table 4

𝑇=2,𝑁=20, and 𝛼=0.5 with different 𝑀 for Problem 6.

	𝑀	10	20	30	40	50
Algorithm 1	𝐿^∞-error	5.1863𝑒−1	2.5840𝑒−1	1.6670𝑒−1	1.2088𝑒−1𝑒	9.3705𝑒−2
	𝐿^∞-rate	—	1.0051	1.0810	1.1173	1.1411
	𝐿^2-error	1.1282𝑒−1	5.6080𝑒−2	3.6162𝑒−2	2.6216𝑒−2	2.0321𝑒−2
	𝐿^2-rate	—	1.0084	1.0822	1.1180	1.1414
Algorithm 2	𝐿^∞-error	5.6623𝑒−2	1.3141𝑒−2	5.4618𝑒−3	2.9080𝑒−3	1.7745𝑒−3
	𝐿^∞-rate	—	2.1073	2.1653	2.1910	2.2137
	𝐿^2-error	1.2280𝑒−2	2.8416𝑒−3	1.1808𝑒−3	6.2852𝑒−4	3.8345𝑒−4
	𝐿^2-rate	—	2.1116	2.1659	2.1918	2.2146