@Article{EAJAM-9-522,
author = {Xueyun Xie and Liyong Zhu},
title = {A Fast Compact Exponential Time Differencing Runge-Kutta Method for Time-Dependent Advection-Diffusion-Reaction Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {3},
pages = {522--537},
abstract = {<p style="text-align: justify;">A fast and accurate exponential Runge-Kutta method for a class of time-dependent advection-diffusion-reaction equations is developed. To discretise the convection term, a modified upwind difference scheme is used. This allows to avoid numerical
oscillation and achieve second order spatial accuracy. The method demonstrates good
stability and numerical examples show the applicability of the method to advection-diffusion-reaction problems with stiff nonlinearities.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.170618.101018 },
url = {http://global-sci.org/intro/article_detail/eajam/13165.html}
}