Theory and Modern Applications
Table 4 The pollutant concentration \(\pmb{C(x,t)}\) using the new fourth-order scheme and employing Saulyev scheme, Δ x = 0.05, Δ 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 | 1.00000 | 0.98707 | 0.96381 | 0.92269 | 0.85430 | 0.75311 | 0.62458 | 0.48989 | 0.38012 | 0.31931 | 0.30376 |
20 | 1.00000 | 0.99226 | 0.97058 | 0.92379 | 0.84269 | 0.72904 | 0.60095 | 0.48632 | 0.40726 | 0.36902 | 0.35910 |
30 | 1.00000 | 0.81678 | 0.67155 | 0.60392 | 0.58238 | 0.57723 | 0.57518 | 0.57294 | 0.57033 | 0.56750 | 0.56423 |
40 | 1.00000 | 0.73266 | 0.71148 | 0.71812 | 0.71721 | 0.71552 | 0.71391 | 0.71215 | 0.71013 | 0.70778 | 0.70470 |