Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

Table 4

Maximum absolute error for various choices of 𝛼 and 𝑁 for Example 5.

𝑁	𝜈	𝛼	GLOM	𝛼	GLOM	𝛼	GLOM
5	1.5	0	1.69⋅10^−2	1	4.41⋅10^−2	2	1.07⋅10^−1
10			1.08⋅10^−3		4.17⋅10^−4		6.52⋅10^−4
15			4.99⋅10^−6		1.46⋅10^−5		1.33⋅10^−5
20			3.57⋅10^−8		1.22⋅10^−7		2.41⋅10^−7
25			3.50⋅10^−10		1.30⋅10^−9		4.07⋅10^−9
30			4.03⋅10^−12		1.55⋅10^−11		3.47⋅10^−11
35			5.10⋅10^−14		2.08⋅10^−13		6.50⋅10^−13
40			6.87⋅10^−16		2.64⋅10^−15		5.29⋅10^−15