A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems

Table 4

Maximum absolute error with various choices of 𝑁,𝑚,𝜁, and 𝑝=4, for Example 4.

𝑁−𝑚	𝑚	𝜁	SL-G-LC	𝜁	SL-G-LC
4	3	2.5	9.29×10^−3	2.9	4.80×10^−3
8			3.29×10^−3		2.44×10^−3
16			1.34×10^−3		2.65×10^−4
24			4.89×10^−4		2.63×10^−4
4	5	4.2	1.16×10^−2	4.8	1.98×10^−2
8			3.69×10^−3		4.31×10^−3
16			1.47×10^−4		1.89×10^−3
24			1.19×10^−4		7.90×10^−4