Theory and Modern Applications
From: Hexagonal grid approximation of the solution of the heat equation on special polygons
(h,τ) | \(\mathrm{CT}^{Ex1}\) | \(\Vert \varepsilon _{\mathrm{Rec}}^{Ex1(h,\tau )} \Vert _{\infty }\) | \({}_{4}\Re _{\mathrm{Rec}}^{Ex1}\) | \(\mathrm{CT}^{Ex2}\) | \(\Vert \varepsilon _{\mathrm{Rec}}^{Ex2(h,\tau )} \Vert _{\infty }\) | \({}_{4}\Re _{\mathrm{Rec}}^{Ex2}\) |
---|---|---|---|---|---|---|
(2−4,2−6) | neg | 4.95534E-4 | 3.965 | 0.02 | 4.66691E-3 | 3.981 |
(2−5,2−10) | 0.03 | 3.17373E-5 | 3.997 | 0.08 | 2.95518E-4 | 3.999 |
(2−6,2−14) | 0.14 | 1.98759E-6 | 3.999 | 0.34 | 1.84851E-5 | 4.000 |
(2−7,2−18) | 1.13 | 1.24291E-7 | 4.000 | 1.88 | 1.15518E-6 | 4.000 |
(2−8,2−22) | 3.24 | 7.76738E-9 | 3.98 | 7.21861E-8 |