Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order

Table 5

Comparison of absolute errors between the proposed method with 𝑀=12, 𝑘=3, Haar wavelet method, and fourth order HPM, for different values of 𝛼 for Example 6.

𝑡	Current method	Haar wavelet [55]	Fourth order HPM [56]
0.1	9.0×10^−20	3.4×10^−8	5.2×10^−6
0.2	2.1×10^−19	2.7×10^−8	2.7×10^−8
0.3	2.1×10^−19	2.9×10^−8	1.1×10^−9
0.4	2.0×10^−20	3.6×10^−8	7.9×10^−6
0.5	9.0×10^−20	4.0×10^−8	3.6×10^−6
0.6	5.0×10^−19	5.2×10^−8	1.4×10^−6
0.7	1.1×10^−18	6.6×10^−8	5.3×10^−6
0.8	1.2×10^−18	7.8×10^−8	6.5×10^−6
0.9	6.2×10^−19	9.4×10^−8	4.5×10^−6