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Table 3 Single solitary case: Computational errors in the L 2 -norm and the energy norm for P 1 approximation with respect to time step ( h=0.05 )

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

τ

t = 20.0

t = 20.0

err τ 0

EOC

err τ 1

EOC

0.2000

5.852E-02

-

8.647E-03

-

0.1000

2.977E-02

0.975

4.384E-03

1.008

0.0500

1.445E-02

1.046

2.160E-03

0.994

0.0250

7.228E-03

0.996

1.097E-03

0.977

0.0125

3.601E-03

1.005

5.300E-04

1.049