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Table 1 Single solitary case: Computational errors in the L 2 -norm and experimental orders of convergence for P 1 approximation on a consequence of meshes at time instances t ( τ= 10 3 )

From: Analysis and application of the discontinuous Galerkin method to the RLW equation

h

t = 5.0

t = 10.0

t = 15.0

t = 20.0

err h 0

EOC

err h 0

EOC

err h 0

EOC

err h 0

EOC

0.80

2.643E-03

-

3.507E-03

-

4.376E-03

-

5.255E-03

-

0.40

6.732E-04

1.973

8.762E-04

2.001

1.099E-03

1.993

1.298E-03

2.017

0.20

1.634E-04

2.043

2.232E-04

1.973

2.605E-04

2.077

3.284E-04

1.983

0.10

4.061E-05

2.009

5.763E-05

1.953

6.561E-05

1.989

8.061E-05

2.026

0.05

1.004E-05

2.016

1.355E-05

2.089

1.638E-05

2.002

2.107E-05

1.936