Numerical study of a problem in combustion of a porous medium

K.K. Tam; A. Andonowati

doi:10.1017/S0334270000000837

Numerical study of a problem in combustion of a porous medium

K.K. Tam
, A. Andonowati

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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.

Original language	English
Pages (from-to)	506-517
Number of pages	12
Journal	Journal of the Australian Mathematical Society. Series B, Applied mathematics (Online)
Volume	38
DOIs	https://doi.org/10.1017/S0334270000000837
Publication status	Published - 1997

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METIS-140434

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10.1017/S0334270000000837

Tam1997numericalFinal published version, 490 KB

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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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AU - Andonowati, A.

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AB - 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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DO - 10.1017/S0334270000000837

M3 - Article

SN - 1839-4078

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SP - 506

EP - 517

JO - Journal of the Australian Mathematical Society. Series B, Applied mathematics (Online)

JF - Journal of the Australian Mathematical Society. Series B, Applied mathematics (Online)

ER -

Numerical study of a problem in combustion of a porous medium

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