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

Table 1

Comparison of our scheme with the IDA [36] at various choices of 𝑁, (𝑁=𝑀) for Example 1.

Our scheme		IDA [36]
𝑁=𝑀	MAEs	𝑁=𝑀	MAEs
6	2.541507⋅10^−2	4	2.297695⋅10^−1
8	8.774320⋅10^−4	8	5.383793⋅10^−2
10	2.118341⋅10^−5	16	1.391800⋅10^−2
12	1.832678⋅10^−6	32	3.843610⋅10^−3
14	1.037991⋅10^−6	64	1.152111⋅10^−3
16	6.590323⋅10^−7	128	3.844224⋅10^−4
18	4.383403⋅10^−7	256	1.447756⋅10^−4