Theory and Modern Applications
From: Hexagonal grid approximation of the solution of the heat equation on special polygons
(h,τ) | \(\mathrm{CT}^{Ex1}\) | \(\Vert \varepsilon_{\mathrm{Tra}}^{Ex1(h,\tau )} \Vert _{\infty }\) | \({}_{2}\Re _{\mathrm{Tra}}^{Ex1}\) | \(\mathrm{CT}^{Ex2}\) | \(\Vert \varepsilon _{\mathrm{Tra}}^{Ex2(h,\tau )} \Vert _{\infty }\) | \({}_{2}\Re _{\mathrm{Tra}}^{Ex2}\) |
---|---|---|---|---|---|---|
(2−3,2−8) | neg | 7.47982E-5 | 1.971 | neg | 1.40022E-2 | 1.989 |
(2−4,2−9) | 0.02 | 1.90801E-5 | 1.999 | 0.02 | 3.52824E-3 | 2.001 |
(2−5,2−10) | 0.05 | 4.77247E-6 | 1.999 | 0.05 | 8.81499E-4 | 2.002 |
(2−6,2−11) | 0.20 | 1.19371E-6 | 2.000 | 0.25 | 2.20072E-4 | 2.002 |
(2−7,2−12) | 2.20 | 2.98412E-7 | 2.000 | 2,33 | 5.49334E-5 | 2.002 |
(2−8,2−13) | 4.41 | 7.45783E-8 | 4.88 | 1.37127E-5 |