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Table 1 Absolute error of numerical solution at \(\tau = 0.02\)

From: A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method

x

J = 10

J = 30

J = 50

J = 80

0.1

1.92E–08

1.03E–09

2.45E–10

3.45E–12

0.2

3.23E–08

1.63E–09

3.47E–10

5.25E–11

0.3

3.27E–08

1.52E–09

2.33E–10

1.66E–10

0.4

2.09E–08

7.95E–10

5.49E–11

3.21E–10

0.5

2.11E–09

2.30E–10

4.09E–10

4.69E–10

0.6

1.68E–08

1.23E–09

7.20E–10

5.70E–10

0.7

2.91E–08

1.87E–09

8.82E–10

5.84E–10

0.8

2.96E–08

1.86E–09

8.07E–10

4.85E–10

0.9

1.76E–08

1.14E–09

4.80E–10

2.76E–10