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

Table 1

Maximum absolute error with various choices of 𝑁, for Example 1.

𝑁−6	𝜈	SLG method	𝜈	SLG method	𝜈	SLG method
8	5.1	1.00×10^−3	5.5	2.30×10^−3	5.9	2.88×10^−3
16		1.19×10^−7		1.11×10^−6		1.47×10^−6
24		7.15×10^−10		1.08×10^−8		1.86×10^−8