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

الملخص EN

We develop a new efficient second-order finite difference scheme for two-dimensional problem of contaminant in groundwater flow.

Theoretical analysis shows that the scheme is second-order convergence in the L2 norm and is unconditionally stable.

Numerical results demonstrate that the error measures of the second-order scheme are several times smaller than those of the standard implicit finite difference scheme.