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Theory and Modern Applications

Table 3 Numerical errors for Example 3

From: A numerical approach for the solution of a class of singular boundary value problems arising in physiology

x

Present method with n  = 10

Present method with n  = 14

Approach II [28] with n  = 20

0.0

3.77 × 10−8

6.72 × 10−8

2.00 × 10−6

0.1

1.05 × 10−7

6.69 × 10−8

1.99 × 10−6

0.2

6.33 × 10−9

7.87 × 10−9

1.97 × 10−6

0.3

5.91 × 10−8

6.92 × 10−9

1.94 × 10−6

0.4

2.12 × 10−7

2.87 × 10−8

1.83 × 10−6

0.5

1.00 × 10−8

7.40 × 10−10

1.78 × 10−6

0.6

5.36 × 10−7

6.32 × 10−8

1.67 × 10−6

0.7

4.25 × 10−8

6.95 × 10−8

1.34 × 10−6

0.8

8.32 × 10−7

3.38 × 10−9

9.20 × 10−7

0.9

4.67 × 10−8

7.85 × 10−8

4.57 × 10−7

1.0

6.42 × 10−8

6.63 × 10−8

0