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Theory and Modern Applications

Table 3 The errors of the implicit exact finite difference schemes with \(\Delta t=10h\)

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

h

IMPEXFDI

IMPEXFDII

IMPEXFDIII

 

\(L_{\infty }\)-error

\(L_{2}\)-error

\(L_{\infty }\)-error

\(L_{2}\)-error

\(L_{\infty }\)-error

\(L_{2}\)-error

0.016

0.007887

0.005223

0.007887

0.005223

0.007899

0.005230

0.032

0.02887

0.02144

0.02887

0.02144

0.02876

0.02136

0.064

0.3675

0.3222

0.3674

0.3222

0.3744

0.3231