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Theory and Modern Applications

Table 6 Comparison of absolute and relative errors for Example 5.2

From: A new approach for one-dimensional sine-Gordon equation

η

AE

[27]

AE

[RKM]

RE

[27]

RE

[RKM]

−0.80

1.53E − 08

4.23359211E − 11

5.96E − 09

1.64852462241777932E − 11

−0.40

3.54E − 10

6.89217E − 13

1.18E − 10

2.30828252012217808E − 13

0.00

1.62E − 10

7.40285E − 13

5.15E − 11

2.35640034093567477E − 13

0.40

3.54E − 10

6.89217E − 13

1.18E − 10

2.30828252012217808E − 13

0.80

1.53E − 08

4.23359211E − 11

5.96E − 09

1.64852462241777932E − 11