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

Table 5

Maximum absolute error for 𝜈=3/2, with various choices of 𝑁, for Example 9 in which 𝑥∈(0,1).

𝑁	𝛼	𝛽	MGLC	𝛼	𝛽	MGLC
3	0	1	2.66⋅10^−2	2	3	2.61⋅10^−2
6			2.27⋅10^−3			3.04⋅10^−3
9			1.30⋅10^−3			1.36⋅10^−3
12			5.68⋅10^−4			7.52⋅10^−4
3	2	4	1.39⋅10^−2	3	6	1.07⋅10^−2
6			1.87⋅10^−3			1.86⋅10^−3
9			8.47⋅10^−4			6.94⋅10^−4
12			4.02⋅10^−4			3.63⋅10^−4