TY - JOUR T1 - Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model 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 -
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.