J Austral Math Soc Ser B 38 pp506--517, 1997.

Numerical study of a problem in the combustion of a porous medium

K. K. Tam and Andonowati

(Received 10 December 1994; revised 18 September 1995)

Abstract

A spectral method is used to consider the porous medium combustion in an infinite slab. The infinite system of ordinary differential equations for the amplitude functions is truncated and comparisons are made for different numbers of modes included in the numerical computation. It is shown that the qualitative behaviour of the solution is captured by the first eigenmode. Dependence of the solution on initial data and a parameter is also considered.

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Authors

K. K. Tam
Andonowati: Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montréal, Québec, Canada, H3A 2K6.

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Last Modified: Mon Dec 10 17:04:54 2001