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Finite difference method for a combustion model
Author(s):
Lung-An
Ying.
Journal:
Math. Comp.
73
(2004),
595-611.
MSC (2000):
Primary 65M06, 35L65, 76M20, 80A25
Posted:
October 27, 2003
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Additional information
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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Additional Information:
Lung-An
Ying
Affiliation:
School of Mathematical Sciences, Peking University, People's Republic of China
DOI:
10.1090/S0025-5718-03-01601-6
PII:
S 0025-5718(03)01601-6
Keywords:
Combustion,
finite difference method,
detonation wave,
stiff equation
Received by editor(s):
November 12, 2001
Received by editor(s) in revised form:
October 22, 2002
Posted:
October 27, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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