Theory and Modern Applications
Table 4 The errors of the explicit exact finite difference schemes with \(\Delta t=10h\)
From: Exact and nonstandard finite difference schemes for the generalized KdV–Burgers equation
h | EXPEXFDI | EXPEXFDII | EXPEXFDIII | |||
|---|---|---|---|---|---|---|
\(L_{\infty }\)-error | \(L_{2}\)-error | \(L_{\infty }\)-error | \(L_{2}\)-error | \(L_{\infty }\)-error | \(L_{2}\)-error | |
0.016 | 3.5959 | 0.6189 | 3.5960 | 0.6190 | 5.4038 | 0.8368 |
0.032 | 1.8098 | 0.4389 | 1.8098 | 0.4389 | 2.7303 | 0.5976 |
0.064 | 0.9180 | 0.3125 | 0.9180 | 0.3125 | 1.3942 | 0.4310 |