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 sheets0.50
Keywords in Englishdiffusion, mass conservation, difference scheme, asymptotic series expansion, small parameter
ASJC Classification2718 Health Informatics; 1300 General Biochemistry, Genetics and Molecular Biology; 1706 Computer Science Applications
Languageen angielski
LicenseOther; published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)15
Score sourcejournalList
ScoreMinisterial score = 15.0, 27-05-2020, ArticleFromJournal
Publication indicators WoS Citations = 0.000; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.306; WoS Impact Factor: 2017 = 0.796 (2) - 2017=0.781 (5)
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