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

Table 2

Maximum absolute error with various choices of 𝑁, for Example 2.

𝑁−2	𝜈	SLG method	𝜈	SLG method	𝜈	SLG method
16	1	2.87×10^−4	𝜋	3.21×10^−3	2𝜋	3.99×10^−1
20		2.47×10^−5		2.43×10^−4		9.96×10^−4
24		6.05×10^−6		6.01×10^−5		2.55×10^−4