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Theory and Modern Applications

Table 2 Comparison of absolute error for solving Example 1 using FAM22 and FFDM as \(N=100\)

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

t

α = 0.20

α = 0.50

FFDM

FAM22

FFDM

FAM22

0.1

5.0290×10−3

4.0035×10−6

1.2319×10−2

2.2043×10−6

0.2

2.2890×10−3

7.4119×10−5

5.9930×10−3

4.3601×10−5

0.3

1.4730×10−3

3.9708×10−5

3.9660×10−3

1.4540×10−5

0.4

1.0710×10−3

6.2716×10−4

2.9960×10−3

4.1222×10−4

0.5

8.9700×10−4

3.0469×10−4

2.5090×10−3

2.9836×10−4

0.6

7.5900×10−4

2.5632×10−4

2.2930×10−3

2.5287×10−4

0.7

6.6200×10−4

2.4127×10−4

2.2130×10−3

2.5527×10−4

0.8

6.5400×10−4

2.3682×10−4

2.1430×10−3

2.1368×10−4

0.9

5.8800×10−4

1.7271×10−3

1.8600×10−3

2.6067×10−4

1.0

5.1200×10−4

1.1196×10−3

1.1620×10−3

1.8386×10−4