Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions

Table 4

Results of the method in [18] and the proposed method.

𝛼	Number of mesh points in [18]	𝑒I	𝑒II	𝑒III	Er
0.25	10	3.5∗10^−4	2.4∗10^−4	1.9∗10^−4	2.3∗10^−11
	20	1.1∗10^−4	7.2∗10^−5	5.0∗10^−5
	40	3.5∗10^−5	2.2∗10^−5	1.3∗10^−5
	80	1.1∗10^−5	6.5∗10^−6	3.5∗10^−6
0.5	10	1.3∗10^−3	8.9∗10^−4	6.1∗10^−4	4.1∗10^−12
	20	4.8∗10^−4	3.1∗10^−4	1.9∗10^−4
	40	1.7∗10^−4	1.1∗10^−4	5.8∗10^−5
	80	6.1∗10^−5	3.8∗10^−5	1.9∗10^−5
0.75	10	3.8∗10^−3	2.7∗10^−3	1.9∗10^−3	6.7∗10^−11
	20	1.6∗10^−3	1.1∗10^−3	7.4∗10^−4
	40	6.9∗10^−4	4.7∗10^−4	2.9∗10^−4
	80	2.9∗10^−4	2.0∗10^−4	1.2∗10^−4