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, issue 1

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 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.

Date: 2012
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https://doi.org/10.1155/2012/575493

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:575493

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