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Theory and Modern Applications

Table 4 Absolute error for solving Example 3 using FAM22 as \(\alpha =1.0\)

From: Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict–correct technique

t

α = 1.00

N = 10

N = 100

N = 1000

0.1

2.7392×10−4

5.7294×10−6

6.1875×10−7

0.2

1.4233×10−4

5.7586×10−6

5.9900×10−7

0.3

4.9600×10−4

4.9114×10−6

5.9501×10−7

0.4

1.5393×10−4

4.4170×10−6

5.2650×10−7

0.5

2.8864×10−4

4.2112×10−6

4.6503×10−7

0.6

4.7404×10−4

4.0345×10−6

4.1340×10−7

0.7

6.8287×10−4

3.2814×10−6

3.5839×10−7

0.8

9.2013×10−4

2.7075×10−6

3.0094×10−7

0.9

1.1969×10−4

2.2386×10−6

2.2808×10−7

1.0

2.2211×10−3

1.4694×10−6

1.4545×10−7

MXE (P)

2.6881×10−3

6.3300×10−6

7.0285×10−7

MXE (C)

2.2211×10−3

5.7586×10−6

6.1875×10−7

EOC (P)

 

1.56

 

EOC (C)

 

2.59