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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The errors estimates of numerical solution with various h and Ï„

From: High-order conservative Crank-Nicolson scheme for regularized long wave equation

 

τ = 0.2, h = 0.1

τ = 0.05, h = 0.05

τ = 0.0125, h = 0.025

∥ e n ∥

∥ e n ∥ ∞

∥ e n ∥

∥ e n ∥ ∞

∥ e n ∥

∥ e n ∥ ∞

t = 2

1.815667e−3

9.106257e−4

1.139049e−4

5.714576e−6

7.120731e−6

3.572519e−6

t = 4

3.558495e−3

1.786774e−3

2.232765e−4

1.121945e−4

1.395820e−5

7.013983e−6

t = 6

5.186555e−3

2.536722e−3

3.254965e−4

1.592516e−4

2.034878e−5

9.955996e−6

t = 8

6.691763e−3

3.175770e−3

4.200524e−4

1.994228e−4

2.626042e−5

1.246776e−5

t = 10

8.084741e−3

3.734968e−3

5.076006e−4

2.346426e−4

3.173410e−5

1.467109e−5

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