N-stability of the θ-method for reaction-diffusion problems

I. Fekete, I. Faragó

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

In this paper we investigate the N-stability notion in an abstract Banach space setting. The main result is that thanks to this notion we have an alternative opportunity for verifying the stability of the numerical solution for periodic initial-value reaction-diffusion problems.

Original languageEnglish
Pages (from-to)447-458
Number of pages12
JournalMiskolc Mathematical Notes
Volume15
Issue number2
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Nonlinear problems
  • Numerical method
  • Stability

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