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Theory and Modern Applications

Table 2 Numerical results for Example 5.1 with \(\pmb{\tau= 1}\)

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

η

ES

AS

AE

RE

−0.80

0.5877852522

1.756 × 10−7

0.5877854278

2.987485639 × 10−7

−0.40

0.9510565165

7.70 × 10−8

0.9510565935

8.096259125 × 10−8

0.40

−0.9510565165

7.70 × 10−8

−0.9510565935

8.096259125 × 10−8

0.80

−0.5877852522

1.756 × 10−7

−0.5877854278

2.987485639 × 10−7