A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations
Numerical Analysis
2023-10-26 v1 Numerical Analysis
Abstract
We show that the classical fourth order accurate compact finite difference scheme with high order strong stability preserving time discretizations for convection diffusion problems satisfies a weak monotonicity property, which implies that a simple limiter can enforce the bound-preserving property without losing conservation and high order accuracy. Higher order accurate compact finite difference schemes satisfying the weak monotonicity will also be discussed.
Keywords
Cite
@article{arxiv.2310.16170,
title = {A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations},
author = {Hao Li and Shusen Xie and Xiangxiong Zhang},
journal= {arXiv preprint arXiv:2310.16170},
year = {2023}
}