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

Quanyong Zhu, Quanxiang Wang, Ju Fu and Zhiyue Zhang

Journal of Applied Mathematics, 2012, vol. 2012, 1-13

Abstract:

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 L 2 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:575493

DOI: 10.1155/2012/575493

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