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Table 2 Single solitary case: Computational errors in the energy 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 1

EOC

err h 1

EOC

err h 1

EOC

err h 1

EOC

0.80

7.082E-03

-

7.096E-03

-

7.108E-03

-

7.123E-03

-

0.40

3.540E-03

1.000

3.550E-03

0.999

3.603E-03

0.980

3.673E-03

0.956

0.20

1.778E-03

0.993

1.791E-03

0.987

1.810E-03

0.993

1.891E-03

0.958

0.10

8.866E-04

1.004

8.943E-04

1.002

9.049E-04

1.000

9.099E-04

1.055

0.05

4.441E-04

0.997

4.492E-04

0.993

4.533E-04

0.997

4.573E-04

0.993