A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation

Table 1

Maximum absolute errors for problem (40) for 𝑇=1.

𝑁=𝑀	SL-GL-C method		[43]
	𝑀^𝑡𝐸	𝑀𝐸	Δ𝑥=Δ𝑦=Δ𝑡	𝑀𝐸
4	3.41785×10^−3	9.11427×10^−3	—	—
6	2.13706×10^−5	6.83861×10^−5	15	1.05564×10^−3
8	1.32866×10^−6	4.85909×10^−6	110	2.61694×10^−4
10	1.74023×10^−7	7.07142×10^−7	120	6.57067×10^−5
12	3.43827×10^−8	1.52415×10^−7	140	1.55866×10^−5