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

Table 3

Maximum absolute error for 𝜁=2.5, 𝜂=1.5, and 𝜃=0.9 and different choices of 𝑁, for Example 3.

𝑁	SL-G-LC	SJ-GC (𝛼=𝛽=0)	SL-GLC (𝛼=𝛽=1/2)	SL-GLC (𝛼=𝛽=1)
4	4.06×10^−4	3.91×10^−3	2.73×10^−3	1.84×10^−3
8	1.61×10^−4	1.42×10^−3	8.66×10^−4	5.40×10^−4
16	7.06×10^−5	1.24×10^−4	1.17×10^−4	1.03×10^−4
24	2.33×10^−5	3.37×10^−5	3.50×10^−5	3.39×10^−5