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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Comparison of absolute errors in Example 3

From: Numerical method and convergence order for second-order impulsive differential equations

n

\(\vert u(x) - u_{n}(x) \vert \) [14]

Presented method

\(\max \vert w(x) - u_{n}(x) \vert \)

C.R

\(\max \vert u'(x) - u'_{n}(x) \vert \)

C.R

20

1.975F−2

3.221F−3

–

2.849F−2

–

40

6.241F−3

7.207F−4

2.1600

6.832F−3

2.0602

80

1.743F−3

1.702F−4

2.0822

1.669F−3

2.0333

160

4.600F−4

4.132F−5

2.0423

4.123F−4

2.0172

320

1.181F−4

1.017F−5

2.0255

1.024F−4

2.0095

640

2.992F−5

2.524F−6

2.0105

2.553F−5

2.0040

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