학술논문

EVANS FUNCTION STABILITY OF COMBUSTION WAVES.
Document Type
Article
Source
SIAM Journal on Applied Mathematics. 2003, Vol. 63 Issue 4, p1259. 17p.
Subject
*MATHEMATICAL functions
*COMBUSTION
*NUMERICAL analysis
*MATRICES (Mathematics)
Language
ISSN
0036-1399
Abstract
In this paper we investigate the linear stability and properties, such as speed, of the planar traveling combustion front. The speed of the front is estimated both analytically, using the matched asymptotic expansion, and numerically, by means of the shooting and relaxation methods. The Evans function approach extended by the compound matrix method is employed to numerically solve the linear stability problem for the traveling wave solution. [ABSTRACT FROM AUTHOR]