Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models

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 num...

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Detalles Bibliográficos
Autores principales: Danielewski, Marek, Leszczyński, Henryk, Szafrańska, Anna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Original Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5545083/
https://www.ncbi.nlm.nih.gov/pubmed/28405889
http://dx.doi.org/10.1007/s12539-017-0228-5
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author Danielewski, Marek
Leszczyński, Henryk
Szafrańska, Anna
author_facet Danielewski, Marek
Leszczyński, Henryk
Szafrańska, Anna
author_sort Danielewski, Marek
collection PubMed
description 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).
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spelling pubmed-55450832017-08-18 Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models Danielewski, Marek Leszczyński, Henryk Szafrańska, Anna Interdiscip Sci Original Research Article 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). Springer Berlin Heidelberg 2017-04-12 2017 /pmc/articles/PMC5545083/ /pubmed/28405889 http://dx.doi.org/10.1007/s12539-017-0228-5 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Original Research Article
Danielewski, Marek
Leszczyński, Henryk
Szafrańska, Anna
Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models
title Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models
title_full Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models
title_fullStr Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models
title_full_unstemmed Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models
title_short Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models
title_sort asymptotic expansion method with respect to small parameter for ternary diffusion models
topic Original Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5545083/
https://www.ncbi.nlm.nih.gov/pubmed/28405889
http://dx.doi.org/10.1007/s12539-017-0228-5
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