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Table 5 Periodic 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

2.790E-02

-

3.589E-02

-

4.531E-02

-

6.290E-02

-

0.40

7.016E-03

1.992

9.085E-03

1.982

1.156E-02

1.971

1.612E-03

1.964

0.20

1.860E-03

1.915

2.308E-03

1.977

3.005E-03

1.943

4.281E-03

1.912

0.10

4.952E-04

1.909

6.179E-04

1.901

8.084E-04

1.894

1.204E-04

1.830

0.05

1.357E-04

1.868

1.724E-04

1.841

2.314E-04

1.804

3.534E-04

1.768