Theory and Modern Applications
Table 2 \(\pmb{L_{\infty}}\) -errors for different space steps at \(\pmb{t=0.3}\)
From: Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions
Ï„ | h | err( h , h ,0.3) | \(\boldsymbol{\frac{\operatorname {err}(h,h,0.3)}{h}}\) | \(\boldsymbol{\frac{\operatorname{err}(h,h,0.3)}{h^{2}}}\) |
|---|---|---|---|---|
0.01 | 0.1571 | \(5.2554\times\mathrm{e}^{-33}\) | \(1.6729\times\mathrm {e}^{-32}\) | \(5.3251\times\mathrm{e}^{-32}\) |
0.01 | 0.1047 | \(3.7002\times\mathrm{e}^{-33}\) | \(1.76676\times\mathrm {e}^{-32}\) | \(8.4359\times\mathrm{e}^{-32}\) |
0.01 | 0.0785 | \(2.3035\times\mathrm{e}^{-33}\) | \(1.4665\times\mathrm {e}^{-32}\) | \(9.3360\times\mathrm{e}^{-32}\) |
0.01 | 0.0628 | \(1.0902\times\mathrm{e}^{-33}\) | \(8.6758\times\mathrm {e}^{-33}\) | \(6.9040\times\mathrm{e}^{-32}\) |
0.01 | 0.0523 | \(6.7932\times\mathrm{e}^{-36}\) | \(6.4872\times\mathrm {e}^{-35}\) | \(6.1950\times\mathrm{e}^{-34}\) |