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Theory and Modern Applications

Table 1 Numerical comparison of the errors in Example 3

From: Common fixed point theorems for auxiliary functions with applications in fractional differential equation

 

Number of iteration

N

2

4

6

8

10

1250

6.9316 × 10−6

7.3742 × 10−7

7.3739 × 10−7

7.3739 × 10−7

7.3739 × 10−7

2500

6.4920 × 10−6

2.6084 × 10−7

2.6080 × 10−7

2.6080 × 10−7

2.6080 × 10−7

5000

6.3372 × 10−6

9.2264 × 10−8

9.2226 × 10−8

9.2226 × 10−8

9.2226 × 10−8

10,000

6.2826 × 10−6

3.2649 × 10−8

3.2611 × 10−8

3.2611 × 10−8

3.2611 × 10−8

20,000

6.2633 × 10−6

1.1569 × 10−8

1.1531 × 10−8

1.1531 × 10−8

1.1531 × 10−8