New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-13
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Zhu Quanyong¹²,Wang Quanxiang¹,Fu Ju¹,Zhang Zhiyue¹

Affiliation:

1. Jiangsu Provincial Key Laboratory for Numerical Simulation of Large-Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China

2. School of Science, Lishui University, Lishui 323000, China

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 theL2norm 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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/575493.pdf

Reference17 articles.

1. An analytical model of contaminant transport from diffuse sources in saturated porous media

2. Applications of numerical methods to simulate the movement of contaminants in groundwater.

3. Analytical solutions of tidal groundwater flow in coastal two-aquifer system