New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow

Table 3

The comparison of the maximum absolute error, the maximum relative error, and 𝐿² error at 𝑇=2.

The step sizes in space and time	max𝐸𝐶	max𝑅𝐶	||𝐶−𝑈||	||𝐶−𝑈||/ℎ^2
ℎ=𝜋/10,Δ𝑡=0.4	1.8944𝑒−3	1.2227𝑒−1	2.9256𝑒−3	0.02964
ℎ=𝜋/20,Δ𝑡=0.2	4.8450𝑒−4	3.4301𝑒−2	7.4876𝑒−4	0.03035
ℎ=𝜋/40,Δ𝑡=0.1	1.2189𝑒−4	8.5131𝑒−3	1.8837𝑒−4	0.03053