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

Marek Danielewski; Henryk Leszczyński; Anna Szafrańska

doi:10.1007/s12539-017-0228-5

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

Abstract

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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Authors (3)

Marek Danielewski
- AGH, Wydział Inżynierii Materiałowej i Ceramiki Katedra Fizykochemii i Modelowania Procesów
Henryk Leszczyński
- Uniwersytet Gdański, Wydział Matematyki, FIzyki i Informatyki Instytuy Matematyki
Anna Szafrańska dr inż.

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DOI:: Digital Object Identifier (open in new tab) 10.1007/s12539-017-0228-5
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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Interdisciplinary Sciences-Computational Life Sciences no. 9, edition 3, pages 423 - 433,
ISSN: 1913-2751
Language:: English
Publication year:: 2017
Bibliographic description:: Danielewski M., Leszczyński H., Szafrańska A.: Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models// Interdisciplinary Sciences-Computational Life Sciences. -Vol. 9, iss. 3 (2017), s.423-433
DOI:: Digital Object Identifier (open in new tab) 10.1007/s12539-017-0228-5
Verified by:: Gdańsk University of Technology