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Theory and Modern Applications

Table 2 Comparison of absolute errors in Example 2

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

n

\(\max \vert u(x) - u_{n}(x) \vert \) [13]

Presented method

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

C.R

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

C.R

33

4.627F−2

3.299F−6

 

1.197F−5

 

129

1.578F−5

2.028F−7

 

8.090F−7

 

400

–

2.048F−8

 

8.238F−8

 

800

–

5.022F−9

2.0271

2.028F−8

2.0222