A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

Table 4

Maximum absolute error for 𝜈=3/2, with various choices of 𝑁, for Example 5 in which 𝑥∈(0,1).

𝑁	𝛼	𝛽	MGLT(G)	MGLT(GR)	𝛼	𝛽	MGLT(G)	MGLT(GR)
8	0	1	1.69⋅10^−3	3.14⋅10^−3	3	4	8.98⋅10^−5	8.21⋅10^−4
16			9.97⋅10^−4	2.35⋅10^−3			1.98⋅10^−5	1.91⋅10^−4
32			1.57⋅10^−4	3.50⋅10^−4			8.50⋅10^−6	7.89⋅10^−5
64			3.52⋅10^−5	9.97⋅10^−5			3.81⋅10^−6	3.72⋅10^−5
8	4	5	6.47⋅10^−5	7.07⋅10^−4	5	5	8.61⋅10^−5	1.02⋅10^−3
16			1.53⋅10^−5	1.76⋅10^−4			2.07⋅10^−5	2.63⋅10^−4
32			6.40⋅10^−6	7.31⋅10^−5			6.17⋅10^−6	8.06⋅10^−5
64			3.02⋅10^−6	3.57⋅10^−5			3.19⋅10^−6	4.37⋅10^−5