Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

M. Stynes, N. Kopteva

Research output: Contribution to journalArticlepeer-review

Abstract

Semilinear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes.

Original languageEnglish
Pages (from-to)857-864
Number of pages8
JournalComputers and Mathematics with Applications
Volume51
Issue number5 SPEC. ISS.
DOIs
Publication statusPublished - Mar 2006

Keywords

  • Boundary layer
  • Interior transition layer
  • Layer-adapted mesh
  • Nonlinear
  • Reaction-diffusion

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