A Legendre tau-Spectral Method for Solving Time-Fractional Heat Equation with Nonlocal Conditions

Table 2

Comparison of our scheme with the IDA [36] at various choices of 𝑁 and 𝑀 for Example 2.

Our scheme			IDA [36]
𝑁	𝜈=0.45	𝜈=0.95	𝑀=16			𝑁=16
			𝑁	𝜈=0.45	𝜈=0.95	𝑀	𝜈=0.45	𝜈=0.95
4	1.08⋅10^−3	1.10⋅10^−3	2	1.46⋅10^−2	7.45⋅10^−3	2	3.88⋅10^−2	4.30⋅10^−2
6	5.84⋅10^−5	5.86⋅10^−5	4	7.59⋅10^−3	4.06⋅10^−3	4	9.51⋅10^−3	9.47⋅10^−3
8	6.33⋅10^−6	5.01⋅10^−6	8	4.03⋅10^−3	2.30⋅10^−3	8	3.65⋅10^−3	2.96⋅10^−3
10	1.86⋅10^−6	1.15⋅10^−6	16	2.24⋅10^−3	1.41⋅10^−3	16	2.24⋅10^−3	1.41⋅10^−3
12	9.03⋅10^−7	5.12⋅10^−7	32	1.35⋅10^−3	9.59⋅10^−4	32	1.89⋅10^−3	1.02⋅10^−3
14	5.07⋅10^−7	2.81⋅10^−7	64	9.02⋅10^−4	7.33⋅10^−4	64	1.81⋅10^−3	9.31⋅10^−4
16	3.06⋅10^−7	1.69⋅10^−7	128	6.78⋅10^−4	6.19⋅10^−4	128	1.78⋅10^−3	9.07⋅10^−4
18	1.95⋅10^−7	1.69⋅10^−7	256	5.66⋅10^−4	5.62⋅10^−4	256	1.78⋅10^−3	9.01⋅10^−4