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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