Asymptotic expansion method with respect to small parameter for ternary diffusion models

Marek Danielewski , Henryk Leszczyński , Anna Szafrańska


Ternary diffusion models lead to strongly coupled systems of PDEs. We choose the smallest diffusion coefficient as a small parameter in a power series expansion whose components fulfill relatively simple equations. Although this series is divergent, one can use its finite sums to derive feasible numerical approximations, e.g. finite difference methods (FDMs).
Author Marek Danielewski
Marek Danielewski,,
, Henryk Leszczyński (FMPI / IM)
Henryk Leszczyński,,
- Institute of Mathematics
, Anna Szafrańska
Anna Szafrańska,,
Other language title versions
Journal seriesInterdisciplinary Sciences-Computational Life Sciences, ISSN 1913-2751, (A 15 pkt)
Issue year2017
Publication size in sheets0.5
Keywords in Englishdiffusion, mass conservation, difference scheme, asymptotic series expansion, small parameter
Languageen angielski
LicenseOther; published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)15
ScoreMinisterial score = 15.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 15.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.753 (2) - 2016=0.728 (5)
Citation count*
Share Share

Get link to the record

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.