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Table 1 Absolute errors obtained when γ 1 = γ 2 =0.5 , x= 10 4 , and h=1/ 10 8

From: An approximate solution of fractional cable equation by homotopy analysis method

t

INM [9]

ICFDS [10]

HAM

0.1

4.7796 × 10−5

3.4436 × 10−6

3.14159 × 10−8

0.2

2.1914 × 10−4

6.8604 × 10−6

6.28319 × 10−8

0.3

5.2286 × 10−4

9.8036 × 10−6

9.42478 × 10−8

0.4

9.6227 × 10−4

1.2163 × 10−5

1.25664 × 10−7

0.5

1.5392 × 10−3

1.3893 × 10−5

1.5708 × 10−7

0.6

2.2552 × 10−3

1.4974 × 10−5

1.88496 × 10−7

0.7

3.1110 × 10−3

1.5394 × 10−5

2.19911 × 10−7

0.8

4.1015 × 10−3

1.5141 × 10−5

2.51327 × 10−7

0.9

5.2452 × 10−3

1.4211 × 10−5

2.82743 × 10−7

1.0

6.5246 × 10−3

1.2596 × 10−5

3.14159 × 10−7