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Theory and Modern Applications

Table 9 Comparison of the absolute errors for Example 5 for different N values at \(\nu _{4}=4\) using Chebyshev nodes collocation points

From: Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

x

PM N = 8

PM N = 9

PM N = 12

0

4.59517×10−4

1.09547×10−5

2.06403 ×10−9

0.1

3.24835×10−4

7.48071 ×10−6

1.44816 ×10−9

0.2

2.19655 ×10−4

4.84424 ×10−6

9.69587 ×10−10

0.3

1.40277 ×10−4

2.92682 ×10−6

6.10813 ×10−10

0.4

8.30159×10−5

1.61034 ×10−6

3.54423 ×10−10

0.5

4.41922 ×10−5

7.7671 ×10−7

1.83025×10−10