A Comparison Study of Two High Accuracy Numerical Methods for a Parabolic System in Air Pollution Modelling
Numerical Analysis
2017-01-12 v1
Abstract
We present two approaches for enhancing the accuracy of second order finite difference approximations of two-dimensional semilinear parabolic systems. These are the fourth order compact difference scheme and the fourth order scheme based on Richardson extrapolation. Our interest is concentrated on a system of ten parabolic partial differential equations in air pollution modeling. We analyze numerical experiments to compare the two approaches with respect to accuracy, computational complexity, non-negativity preserving and etc. Sixth-order approximation based on the fourth-order compact difference scheme combined with Richardson extrapolation is also discussed numerically.
Cite
@article{arxiv.1701.03049,
title = {A Comparison Study of Two High Accuracy Numerical Methods for a Parabolic System in Air Pollution Modelling},
author = {Ivan Dimov and Juri Kandilarov and Venelin Todorov and Lubin Vulkov},
journal= {arXiv preprint arXiv:1701.03049},
year = {2017}
}