Journal of Applied Mathematics

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

Quanyong Zhu, Quanxiang Wang, Ju Fu, and Zhiyue Zhang

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 575493, 13 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153504

Digital Object Identifier
doi:10.1155/2012/575493

Mathematical Reviews number (MathSciNet)
MR2979439

Zentralblatt MATH identifier
1251.76035

Citation

Zhu, Quanyong; Wang, Quanxiang; Fu, Ju; Zhang, Zhiyue. New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow. J. Appl. Math. 2012 (2012), Article ID 575493, 13 pages. doi:10.1155/2012/575493. https://projecteuclid.org/euclid.jam/1357153504


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