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Hundsdorfer, W., Verwer, J.G. and Bertozzi, L. (2003) Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations. Springer Series in Computational Mathematics. Springer, Berlin.
https://doi.org/10.1007/978-3-662-09017-6

has been cited by the following article:

• TITLE: Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation

  AUTHORS: Lingyu Li, Zhe Yin

  KEYWORDS: Groundwater Pollution, Two-Dimensional Convection Diffusion Equation, Finite Difference Method, Visualization, Numerical Simulation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.7 No.3, September 6, 2017

  ABSTRACT: The analytical solution of the convection diffusion equation is considered by two-dimensional Fourier transform and the inverse Fourier transform. To get the numerical solution, the Crank-Nicolson finite difference method is constructed, which is second-order accurate in time and space. Numerical simulation shows excellent agreement with the analytical solution. The dynamic visualization of the simulating results is realized on ArcGIS platform. This work provides a quick and intuitive decision-making basis for water resources protection, especially in dealing with water pollution emergencies.