Method of lines for physiologically structured models with diffusion

Agnieszka Bartłomiejczyk; Henryk Leszczyński

doi:10.1016/j.apnum.2015.03.006

Method of lines for physiologically structured models with diffusion

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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Authors (2)

Agnieszka Bartłomiejczyk dr
Henryk Leszczyński
- Uniwersytet Gdański, Wydział Matematyki, Fizyki i Informatyki Zakład Metod Numerycznych i Równań Różniczkowych

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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