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

Table 2

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

	Order		Order		Order
	0.0017	—	0.0018	—	0.0021	—
	1.0832e − 04	4.0382	1.1271e − 04	4.0373	1.2781e − 04	4.0344
	6.7252e − 06	4.0097	6.9990e − 06	4.0094	7.9405e − 06	4.0086
	4.1961e − 07	4.0024	4.3672e − 07	4.0023	4.9553e − 07	4.0021
	2.6215e − 08	4.0006	2.7284e − 08	4.0005	3.0959e − 08	4.0005