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

Table 1

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

h
		Order		Order		Order
	1.5320e − 04	—	1.5941e − 04	—	1.8076e − 04	—
	9.5109e − 06	4.0097	9.8981e − 06	4.0094	1.1230e − 05	4.0086
	5.9343e − 07	4.0024	6.1762e − 07	4.0024	7.0079e − 07	4.0022
	3.7074e − 08	4.0006	3.8585e − 08	4.0006	4.3783e − 08	4.0005