Abstract
We deal with a size-structured model with diffusion. Partial differential equations are approximated by a large system of ordinary differential equations. Due to a maximum principle for this approximation method its solutions preserve positivity and boundedness. We formulate theorems on stability of the method of lines and provide suitable numerical experiments.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
APPLIED NUMERICAL MATHEMATICS
no. 94,
pages 140 - 148,
ISSN: 0168-9274 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Bartłomiejczyk A., Leszczyński H.: Method of lines for physiologically structured models with diffusion// APPLIED NUMERICAL MATHEMATICS. -Vol. 94, (2015), s.140-148
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.apnum.2015.03.006
- Verified by:
- Gdańsk University of Technology
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