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Table 3 Maximal errors of numerical solutions at different time t with various \(\pmb{h=\tau}\) for Scheme III when \(\pmb{\beta=1}\) , \(\pmb{\gamma=-\frac{1}{10}}\) , \(\pmb{\alpha=\frac{1}{2}}\)

From: Numerical analysis of a pseudo-compact C-N conservative scheme for the Rosenau-KdV equation coupling with the Rosenau-RLW equation

t

(0.4,0.4)

(0.2,0.2)

(0.1,0.1)

2

4.74902e−4

1.34120e−4

1.35736e−4

4

9.61048e−4

2.41036e−4

1.06852e−4

6

1.44791e−3

3.63170e−4

9.17900e−5

8

1.91090e−3

4.80782e−4

1.20314e−4

10

2.36020e−3

5.92631e−4

1.48330e−4