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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