On a finite difference scheme for a Beeler-Reuter based model of cardiac electrical activity

Monica Hanslien, Kenneth H. Karlsen, Aslak Tveito, Xue-Cheng TAI

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We investigate an explicit finite difference scheme for a Beeler-Reuter based model of cardiac electrical activity. As our main result, we prove that the finite difference solutions are bounded in the L-norm. We also prove the existence of a weak solution by showing convergence to the solutions of the underlying model as the discretization parameters tend to zero. The convergence proof is based on the compactness method.

Original languageEnglish
Pages (from-to)395-412
Number of pages18
JournalInternational Journal of Numerical Analysis and Modeling
Volume3
Issue number4
Publication statusPublished - 2006

Scopus Subject Areas

  • Numerical Analysis

User-Defined Keywords

  • Cardiac electric field
  • Convergence
  • Excitable cells
  • Finite difference scheme
  • Maximum principle
  • Monodomain model
  • Reaction-diffusion system of Beeler-Reuter type

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