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Table 4 The maximal errors for numerical solutions \(u^n\) of Scheme I and II at time \(t=10\) with various h and \(\tau \)

From: On the convergence of a high-accuracy compact conservative scheme for the modified regularized long-wave equation

\((h,\tau )\)

(0.1, 0.2)

(0.05, 0.05)

(0.025, 0.0125)

(0.0125, 0.003125)

Scheme I

3.11496e−2

1.53986e−3

8.84019e−5

5.40468e−6

CPU time (s)

0.929105

2.412442

19.031491

255.135799

Scheme II

2.91603e−2

1.87511e−3

1.17545e−4

7.35116e−6

CPU time (s)

0.727532

2.229997

17.104052

239.567755

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