Theory and Modern Applications
From: Hexagonal grid approximation of the solution of the heat equation on special polygons
P | \(u_{2^{-4},2^{-9}} ( P ) \) | \(u_{2^{-5},2^{-10}} ( P ) \) | \(u_{2^{-6},2^{-11}} ( P ) \) | \({}_{2}\Re _{\mathrm{Rec}}^{Ex3} ( P ) \) |
---|---|---|---|---|
\(( 0.125,\frac{\sqrt{3}}{16},1 ) \) | −4.58409E-6 | −1.03024E-6 | −1.4070E-7 | 1.998 |
\(( 0.25,\frac{\sqrt{3}}{16},1 ) \) | −1.80759E-6 | 6.79206E-6 | 8.94335E-6 | 1.999 |
\(( 0.375,\frac{\sqrt{3}}{16},1 ) \) | 7.67420E-5 | 9.37204E-5 | 9.79542E-5 | 2.004 |
\(( 0.5,\frac{\sqrt{3}}{16},1 ) \) | 4.35627E-4 | 4.64628E-4 | 4.71821E-4 | 2.011 |
\(( 0.625,\frac{\sqrt{3}}{16},1 ) \) | 1.36634E-3 | 1.40760E-3 | 1.41775E-3 | 2.023 |
\(( 0.75,\frac{\sqrt{3}}{16},1 ) \) | 2.87207E-3 | 2.91762E-3 | 2.92870E-3 | 2.039 |
\(( 0.875,\frac{\sqrt{3}}{16},1 ) \) | 3.75741E-3 | 3.78878E-3 | 3.79627E-3 | 2.066 |