Bounds and critical parameters for a combustion problem

Mohammed Al-Refai

doi:10.1016/j.cam.2005.03.050

Bounds and critical parameters for a combustion problem

Mohammed Al-Refai

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

A model from combustion theory consisting of a nonlinear elliptic equation and boundary conditions of Dirichlet type, is considered. Upper and lower solutions for the problem are obtained by solving linear elliptic equations. These solutions are used to obtain analytical bounds for the extinction and ignition limits. Numerical results are presented for the slab, cylindrical and spherical geometries. Results compare very well with existing ones in the literature.

Original language	English
Pages (from-to)	33-43
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	188
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2005.03.050
Publication status	Published - Apr 1 2006
Externally published	Yes

Keywords

Combustion theory
Comparison theory
Elliptic equations

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2005.03.050

Cite this

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abstract = "A model from combustion theory consisting of a nonlinear elliptic equation and boundary conditions of Dirichlet type, is considered. Upper and lower solutions for the problem are obtained by solving linear elliptic equations. These solutions are used to obtain analytical bounds for the extinction and ignition limits. Numerical results are presented for the slab, cylindrical and spherical geometries. Results compare very well with existing ones in the literature.",

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AB - A model from combustion theory consisting of a nonlinear elliptic equation and boundary conditions of Dirichlet type, is considered. Upper and lower solutions for the problem are obtained by solving linear elliptic equations. These solutions are used to obtain analytical bounds for the extinction and ignition limits. Numerical results are presented for the slab, cylindrical and spherical geometries. Results compare very well with existing ones in the literature.

KW - Combustion theory

KW - Comparison theory

KW - Elliptic equations

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

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ER -

Bounds and critical parameters for a combustion problem

Abstract

Keywords

ASJC Scopus subject areas

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