Finite difference method for a combustion model

Ying, Lung-An

doi:10.1090/S0025-5718-03-01601-6

Finite difference method for a combustion model
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Math. Comp. 73 (2004), 595-611 Request permission

Abstract:

We study a projection and upwind finite difference scheme for a combustion model problem. Convergence to weak solutions is proved under the Courant-Friedrichs-Lewy condition. More assumptions are given on the ignition temperature; then convergence to strong detonation wave solutions or to weak detonation wave solutions is proved.

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