A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line

Table 1

Absolute errors using MGLC method at 𝑁=22 for Example 1.

𝑥	𝛼=1, 𝛽=2	𝛼=4, 𝛽=3	𝛼=𝛽=5
0.0	7.993⋅10^−15	0.000⋅10^−00	2.220⋅10^−16
0.5	5.164⋅10^−4	7.041⋅10^−4	1.746⋅10^−4
1.0	5.066⋅10^−4	5.763⋅10^−4	1.416⋅10^−4
1.5	3.521⋅10^−4	4.936⋅10^−4	1.257⋅10^−4
2.0	2.793⋅10^−4	4.268⋅10^−4	1.059⋅10^−4
2.5	4.480⋅10^−4	3.862⋅10^−4	8.856⋅10^−5
3.0	2.269⋅10^−4	3.437⋅10^−4	8.429⋅10^−5
3.5	1.998⋅10^−4	3.113⋅10^−4	7.249⋅10^−5
4.0	5.164⋅10^−4	3.037⋅10^−4	6.271⋅10^−5
4.5	1.141⋅10^−3	2.841⋅10^−4	1.159⋅10^−4
5.0	1.154⋅10^−3	2.268⋅10^−4	5.200⋅10^−5