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Theory and Modern Applications

Table 14 Numerical results for Example 5.2 with \(\pmb{\eta =0.06}\)

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

τ

ES

AS

AE

RE

Time

CPU (s)

0.02

0.079734118548588251664

0.079734118548588199339

5.23 × 10−17

6.56 × 10−16

0.811

0.04

0.15940492340173257962

0.15940492340173286314

2.83 × 10−16

1.77 × 10−15

0.796

0.06

0.23894940199533129661

0.23894940199533120491

9.17 × 10−17

3.83 × 10−16

0.889

0.08

0.31830514045634341908

0.31830514045634405770

6.38 × 10−16

2.0 × 10−15

0.982

0.1

0.39741061409807554739

0.39741061409807569743

1.5 × 10−16

3.77 × 10−16

0.811