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Theory and Modern Applications

Table 2 The errors at various time of NSFD scheme (39) with \(\Delta t=h^{2}=0.25\)

From: Exact and nonstandard finite difference schemes for the generalized KdV–Burgers equation

T

\(L_{\infty }\)-error

\(L_{2}\)-error

1

7.08568e-4

1.01050e-3

25

1.63208e-2

2.39217e-2

50

2.97822e-2

4.38477e-2

75

4.07325e-2

6.07020e-2

100

4.86742e-2

7.56387e-2