TY - JOUR
T1 - Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model
AU - Xin-Ting Zhang & Lung-An Ying
JO - Journal of Computational Mathematics
VL - 4
SP - 337
EP - 350
PY - 2005
DA - 2005/08
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8820.html
KW - Detonation wave solutions, Combustion model, Upwind finite difference scheme.
AB - <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>