A Numerical Treatment of Nondimensional Form of Water Quality Model in a Nonuniform Flow Stream Using Saulyev Scheme

Table 1

The error defined by error(𝑇)=max|𝑑(1,𝑡)−𝑑(1,𝑡)| for all 𝑇−𝜋≤𝑡≤𝑇+𝜋 at fixed Δ𝑡/Δ𝑥=0.25.

𝑇	Δ𝑥	Δ𝑡	𝑑(1,𝑡)	𝑑(1,𝑡)	error(𝑇)
20	0.200	0.05000	1.50158	1.45659	0.04499
	0.100	0.02500	0.09392	0.38856	0.29465
	0.050	0.01250	−0.25831	−0.40244	0.14413
	0.025	0.00625	−0.33323	−0.40433	0.07110
30	0.200	0.05000	1.49666	1.45165	0.04501
	0.100	0.02500	−0.09358	−0.38821	0.29463
	0.050	0.01250	0.25798	0.40198	0.14401
	0.025	0.00625	0.33290	0.40389	0.07099
40	0.200	0.05000	1.50146	1.45644	0.04502
	0.100	0.02500	0.09324	0.38787	0.29463
	0.050	0.01250	−0.25765	−0.40165	0.14401
	0.025	0.00625	−0.33257	−0.40356	0.07099