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Numerical study of a problem in the combustion of a porous medium
Published online by Cambridge University Press: 17 February 2009
Abstract
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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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- Copyright © Australian Mathematical Society 1997
References
[1]Broomhead, D. S., Indik, R., Newell, A. C. and Rand, D. A., “Local adaptive galerkin bases for large-dimensional dynamical systems”, Nonlin. 4 (1991) 159–178.CrossRefGoogle Scholar
[2]Echaus, W., Studies in Nonlinear Stability Theory (Springer, Berlin, 1965).CrossRefGoogle Scholar
[3]Gray, B. F. and Wake, G. C., “Critical initial conditions for thermal ignition”, Math. and Comp. Modelling 18 (1993) 65–75.CrossRefGoogle Scholar
[4]Norbury, J. and Stuart, A. M., “A model for porous medium combustion”, Quart. J. Mech. and Appl. Math. 42 (1989) 154–178.CrossRefGoogle Scholar
[5]Tam, K. K., “Initial data and criticality for a problem in combustion theory”, J. Math. Anal. Appl. 77 (1980) 626–634.CrossRefGoogle Scholar
[6]Tam, K. K., “On the influence of the initial data in a combustion problem”, J. Austral. Math. Soc. Ser. B 22 (1989) 193–209.CrossRefGoogle Scholar
[7]Tam, K. K., “Porous medium combustion: ignition, temporal evolution, and extinction”, J. Austral. Math. Soc. Ser. B 81 (1989) 249–263.Google Scholar
[8]Témam, R., Infinite Dimensional Systems in Mathematics and Physics, Volume 68 (Springer, Berlin, 1988).Google Scholar
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