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Finite difference method for a combustion model

Author: Lung-An Ying
Journal: Math. Comp. 73 (2004), 595-611
MSC (2000): Primary 65M06, 35L65, 76M20, 80A25
Published electronically: October 27, 2003
MathSciNet review: 2031396
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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

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
Published electronically: October 27, 2003
Article copyright: © Copyright 2003 American Mathematical Society

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