@Article{JCM-23-337,
author = {Xin-Ting Zhang and Lung-An Ying},
title = {Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {4},
pages = {337--350},
abstract = {<p style="text-align: justify;">We study the dependence of qualitative behavior of the numerical solutions (obtained by a projective and upwind finite difference scheme) on the ignition temperature for a combustion model problem with general initial condition. Convergence to weak solution is proved under the Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Finally, we give some numerical examples which show that a strong detonation wave can be transformed to a weak detonation wave under some well-chosen ignition temperature. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8820.html}
}