A Numerical Method for Delayed Fractional-Order Differential Equations

Table 3

Error behavior at time 𝑡=𝑇 with analytical value with 𝛼=0.2,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	0.0425	0.0218	0.0133	0.0097	0.0081	0.0074
	𝐸𝑅	0.0021	0.0011	6.6680𝑒−4	4.8592𝑒−4	4.0585𝑒−4	3.6960𝑒−4
10	𝐸𝐴	0.0411	0.0217	0.0138	0.0104	0.0089	0.0082
	𝐸𝑅	4.5679𝑒−4	2.4130𝑒−4	1.5319𝑒−4	1.1553𝑒−4	9.8859𝑒−5	9.1315𝑒−5
50	𝐸𝐴	−0.0351	0.0184	0.0116	0.0087	0.0074	0.0052
	𝐸𝑅	1.4317𝑒−5	7.5036𝑒−6	4.7294𝑒−6	3.5467𝑒−6	3.0242𝑒−6	2.4322𝑒−6