Bounds and critical parameters for a combustion problem

Mohammed Al-Refai

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)33-43
Number of pages11
JournalJournal of Computational and Applied Mathematics
Issue number1
Publication statusPublished - Apr 1 2006
Externally publishedYes


  • Combustion theory
  • Comparison theory
  • Elliptic equations

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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