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

Table 3

Obtained absolute errors for different values of 𝑀 and 𝑘 for Example 3.

𝑡	𝑀=9, 𝑘=3	𝑀=12, 𝑘=3	𝑀=15, 𝑘=3	𝑀=20, 𝑘=4
0.1	4.318636×10^−10	1.665675×10^−10	7.328301×10^−11	6.046732×10^−11
0.2	6.606933×10^−9	2.590659×10^−9	1.134788×10^−9	8.408221×10^−10
0.3	4.151355×10^−8	1.580848×10^−8	7.193868×10^−9	2.628054×10^−9
0.4	9.317364×10^−8	3.453152×10^−8	1.573303×10^−8	5.658458×10^−9
0.5	1.561308×10^−7	5.795390×10^−8	2.634232×10^−8	1.014053×10^−8
0.6	2.914365×10^−7	1.074635×10^−7	4.947062×10^−8	1.724892×10^−8
0.7	4.226536×10^−7	1.550796×10^−7	7.144234×10^−7	2.685408×10^−8
0.8	5.374743×10^−7	1.810074×10^−7	7.570217×10^−8	3.913804×10^−8
0.9	3.388977×10^−6	2.093040×10^−6	1.384330×10^−6	5.057264×10^−8