Theory and Modern Applications
Table 3 The velocity of water flow \(\pmb{u(x,t)}\) , \(\pmb{\Delta x = 0.05}\) , \(\pmb{\Delta t = 0.00125}\)
From: Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream
t , x | 0 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 |
|---|---|---|---|---|---|---|---|---|---|---|---|
10 | 0.5421 | 0.5505 | 0.5421 | 0.5202 | 0.4859 | 0.4362 | 0.3701 | 0.2901 | 0.1998 | 0.1029 | 0.0000 |
20 | 1.3284 | 1.2315 | 1.1228 | 1.0041 | 0.8766 | 0.7416 | 0.6001 | 0.4538 | 0.3042 | 0.1526 | 0.0000 |
30 | 0.3291 | 0.2628 | 0.2058 | 0.1578 | 0.1182 | 0.0861 | 0.0606 | 0.0405 | 0.0246 | 0.0116 | 0.0000 |
40 | −1.1343 | −1.0752 | −0.9995 | −0.9086 | −0.8044 | −0.6884 | −0.5627 | −0.4290 | −0.2894 | −0.1457 | 0.0000 |