A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations

Table 1

𝐿₂ errors and 𝐿_∞ errors varying with (𝑁, 𝑀) and 𝜇.

(𝑁,𝑀)	𝜇=0.1		𝜇=0.6		𝜇=0.99
	𝐿2 error	𝐿∞ error	𝐿2 error	𝐿∞ error	𝐿2 error	𝐿∞ error
(6, 22)	8.3822𝑒−004	2.7393𝑒−004	1.8302𝑒−004	1.7793𝑒−004	8.4539𝑒−005	1.2560𝑒−004
(8, 22)	8.8873𝑒−006	2.3883𝑒−006	1.6207𝑒−006	1.5843𝑒−006	7.6277𝑒−007	1.1439𝑒−006
(10, 22)	5.1229𝑒−006	1.8179𝑒−006	4.4081𝑒−008	1.2032𝑒−007	4.3509𝑒−009	6.6034𝑒−009
(22, 6)	0.0013	3.8771𝑒−004	5.0251𝑒−005	5.6230𝑒−005	2.3470𝑒−007	2.9261𝑒−007
(22, 8)	3.7516𝑒−004	1.1631𝑒−004	1.0916𝑒−005	1.4832𝑒−005	4.5707𝑒−008	6.9221𝑒−008
(22, 10)	1.4591𝑒−004	4.6309𝑒−005	3.2976𝑒−006	5.2297𝑒−006	1.2453𝑒−008	2.1838𝑒−008