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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The numerical and exact data on some grid points at \(\pmb{t = 1}\)

From: Multisymplectic method for the Camassa-Holm equation

x

Numerical data

Exact data

−4.5

0.0040867762

0.0040867714

−4

0.0067379718

0.0067379470

−3.5

0.0111090695

0.0111089965

−3

0.0183158110

0.0183156389

−2.5

0.0301977431

0.0301973834

−2

0.0497877582

0.0497870684

−1.5

0.0820862237

0.0820849986

−1

0.1353372802

0.1353352832

−0.5

0.2231319769

0.2231301601

0.5

0.6065338144

0.6065306597

1

1.0000083119

1.0000000000

1.5

0.6065303657

0.6065306597

2

0.3678784135

0.3678794412

2.5

0.2231294390

0.2231301601

3

0.1353348944

0.1353352832

3.5

0.0820848236

0.0820849986

4

0.0497870068

0.0497870684

4.5

0.0301973713

0.0301973834

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