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Theory and Modern Applications

Table 2 The maximum absolute errors and the run time in Example 3

From: Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations

Case

m̂ = 16

m̂ = 32

\(e (u_{1} )\)

\(e (u_{2} )\)

\(e (u_{3} )\)

Time (s)

\(e (u_{1} )\)

\(e (u_{2} )\)

\(e (u_{3} )\)

Time (s)

A

8.3289E − 04

5.5473E − 04

1.8833E − 03

03.94

1.9637E − 04

1.3171E − 04

4.4339E − 04

98.96

B

4.0837E − 05

1.7771E − 04

1.0400E − 04

02.56

1.0006E − 05

4.1539E − 05

2.3687E − 05

40.31

C

1.9694E − 05

4.6398E − 05

9.0960E − 07

03.51

4.6593E − 06

1.0843E − 05

1.2908E − 07

73.93

D

5.0693E − 06

8.2312E − 06

3.8376E − 06

02.52

1.1879E − 06

1.9215E − 06

9.0470E − 07

19.31