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

Table 4

Obtained absolute errors for 𝑀=20, 𝑘=5 and different values of 𝛼 for Example 5.

𝑡	𝛼=1.1	𝛼=1.3	𝛼=1.5	𝛼=1.7	𝛼=1.9	𝛼=2
0.1	4.3764×10^−8	1.4878×10^−7	2.0748×10^−7	1.7265×10^−7	2.5621×10^−6	5.3321×10^−10
0.2	2.2918×10^−8	2.5440×10^−7	3.9721×10^−7	2.2383×10^−7	4.1274×10^−6	4.7397×10^−10
0.3	5.2510×10^−9	3.3687×10^−7	5.5097×10^−7	2.3383×10^−7	5.0983×10^−6	4.1473×10^−10
0.4	8.8262×10^−9	3.9515×10^−7	6.6732×10^−7	2.0325×10^−7	5.5447×10^−6	3.5549×10^−10
0.5	2.0156×10^−8	4.2244×10^−7	7.2700×10^−7	1.6890×10^−7	5.5744×10^−6	2.9625×10^−10
0.6	2.6409×10^−8	4.1667×10^−7	7.3063×10^−7	1.1386×10^−7	5.1809×10^−6	2.3700×10^−10
0.7	2.7986×10^−8	3.7630×10^−7	6.6892×10^−7	6.2553×10^−8	4.4105×10^−6	1.7776×10^−10
0.8	2.4855×10^−8	2.9259×10^−7	5.2546×10^−7	2.8409×10^−8	3.2886×10^−6	1.1851×10^−10
0.9	1.5051×10^−8	1.6962×10^−6	3.0942×10^−7	4.8299×10^−9	1.8027×10^−6	5.9254×10^−11