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

Table 2

The comparison of SOFDS and ICFDS in different partitions.

The step size in space	max𝐸𝐶 (SOFDS)	max𝐸𝐶 (ICFDS)	||𝐶−𝑈|| (SOFDS)	||𝐶−𝑈|| (ICFDS)
ℎ=𝜋/10	1.2324𝑒−3	5.2935𝑒−3	1.8081𝑒−3	8.3026𝑒−3
ℎ=𝜋/20	2.8791𝑒−4	1.2583𝑒−3	4.2181𝑒−4	1.9726𝑒−3
ℎ=𝜋/40	7.1142𝑒−5	3.1205𝑒−4	1.0366𝑒−4	4.8671𝑒−4
Rate 𝑟	2.04	2.03	2.04	2.03
Bound 𝑀0	0.0119	0.0517	0.0174	0.0810