@Article{JCM-23-337, author = {}, 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 = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8820.html} }