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Theory and Modern Applications

Table 7 Comparison of absolute error as \(\alpha =1.0\), \(N=10{,}000\) for solving Example 4 using FAM22 and SFMoPF

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

t

Exact

α = 1.0

FAM22

SFMoPF

0.1

8.3756×10−2

8.6456×10−5

9.3660×10−5

0.2

1.4504×10−1

8.0214×10−5

1.1397×10−4

0.3

1.9381×10−1

7.7033×10−5

1.1162×10−4

0.4

2.3116×10−1

7.5360×10−5

1.0297×10−4

0.5

2.6324×10−1

6.4478×10−5

9.3223×10−5

0.6

2.9056×10−1

6.4037×10−5

8.4033×10−5

0.7

2.1423×10−1

5.3851×10−5

7.5850×10−5

0.8

2.3503×10−1

4.3814×10−5

6.8710×10−5

0.9

3.5351×10−1

3.3865×10−5

6.2520×10−5

1.0

3.7009×10−1

3.1967×10−5

5.7152×10−5