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Table 2 The comparison of maximal errors of numerical solutions at \(\pmb{t=10}\) with various \(\pmb{h=\tau}\) for Scheme I, II, and III when \(\pmb{\beta =\gamma=1}\) , \(\pmb{\alpha=\frac{1}{2}}\)

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

( h , Ï„ )

(0.4,0.4)

(0.2,0.2)

(0.1,0.1)

(0.05,0.05)

Scheme I

6.39957e−2

1.52505e−2

3.79081e−3

9.48668e−4

Scheme II

1.20316e−1

3.03968e−2

7.61986e−3

1.90703e−3

Scheme III

1.11946e−1

2.88404e−2

7.26695e−3

1.81991e−3