A Numerical Method for Delayed Fractional-Order Differential Equations

Table 1

Error behavior at time 𝑡=𝑇 with analytical value with 𝛼=0.2,𝜏=0.1.

𝑇	𝐸	ℎ=1/10	ℎ=1/20	ℎ=1/40	ℎ=1/80	ℎ=1/160	ℎ=1/320
5	𝐸𝐴	0.8037	0.2881	0.1074	0.0411	0.0160	0.0062
	𝐸𝑅	0.0402	0.0144	0.0054	0.0021	7.980𝑒−4	3.090𝑒−4
10	𝐸𝐴	1.659	0.5964	0.2234	0.0861	0.0338	0.0134
	𝐸𝑅	0.0184	0.0066	0.0025	9.562𝑒−4	3.757𝑒−4	1.494𝑒−5
50	𝐸𝐴	8.161	2.953	1.114	0.4322	0.1714	0.0690
	𝐸𝑅	0.0033	0.0012	4.545𝑒−4	1.7643𝑒−4	6.9940𝑒−5	2.8171𝑒−5