A Numerical Method for Delayed Fractional-Order Differential Equations

Table 4

Error behavior at time 𝑡=𝑇 with analytical value with 𝛼=0.9,𝜏=0.01exp(−𝑡).

𝑇	𝐸	ℎ=1/10	ℎ=1/20	ℎ=1/40	ℎ=1/80	ℎ=1/160	ℎ=1/320
5	𝐸𝐴	0.0031	0.0016	0.0012	0.0011	0.0011	0.0010
	𝐸𝑅	1.5375𝑒−4	8.1279𝑒−5	6.1399𝑒−5	5.5480𝑒−5	5.3282𝑒−5	5.2136𝑒−5
10	𝐸𝐴	0.0022	9.1466𝑒−4	5.8474𝑒−4	4.9919𝑒−4	4.7680𝑒−4	4.7115𝑒−4
	𝐸𝑅	2.4189𝑒−5	1.0163𝑒−5	6.4971𝑒−6	5.5465𝑒−6	5.2300𝑒−6	5.2350𝑒−6
50	𝐸𝐴	0.0016	4.9082𝑒−4	1.9954𝑒−4	1.2510𝑒−4	1.0616𝑒−4	7.0303𝑒−4
	𝐸𝑅	6.6311𝑒−7	2.0033𝑒−7	8.1447𝑒−8	5.1062𝑒−8	4.3330𝑒−8	2.7081𝑒−8