Asymptotic expansion method with respect to small parameter for ternary diffusion models
Marek Danielewski , Henryk Leszczyński , Anna Szafrańska
AbstractTernary 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).
|Other language title versions|
|Journal series||Interdisciplinary Sciences-Computational Life Sciences, ISSN 1913-2751|
|Publication size in sheets||0.5|
|Keywords in English||diffusion, mass conservation, difference scheme, asymptotic series expansion, small parameter|
|Score|| = 15.0, 20-12-2017, ArticleFromJournal|
= 15.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.753 (2) - 2016=0.728 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.