A Fast Compact Finite Difference Method for Fractional Cattaneo Equation Based on Caputo–Fabrizio Derivative

Table 4

Considering , the discrete error and convergence rates of u with different α for Example 1.

h
		Order		Order		Order
	2.2486e − 04	—	2.2733e − 04	—	2.3705e − 04	—
	1.3985e − 05	4.0071	1.4140e − 05	4.0069	1.4745e − 05	4.0069
	8.6897e − 07	4.0084	8.7882e − 07	4.0081	9.1726e − 07	4.0068
	5.0194e − 08	4.1137	5.1024e − 08	4.1063	5.4092e − 08	4.0838