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Theory and Modern Applications

Table 7 Comparison of the absolute errors for Example 5 for different N values at \(\nu _{4}=4\)

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

1.31521×10−5

4.5665909×10−8

1.365685×10−12

0.1

3.92192×10−6

1.9078572×10−9

1.114663×10−13

0.2

9.13696×10−7

5.4609468×10−9

2.48912×10−13

0.3

1.30555×10−7

3.38934×10−9

1.985078×10−13

0.4

7.09891×10−9

1.94735×10−9

1.234568×10−13

0.5

1.22285×10−8

1.08624 ×10−9

6.94999×10−14