Rothe’s method for physiologically structured models with diffusion

Agnieszka Bartłomiejczyk; Henryk Leszczyński; Agnieszka Marciniak

doi:10.1515/ms-2017-0094

Rothe’s method for physiologically structured models with diffusion

Abstract

We consider structured population models with diffusion and dynamic boundary conditions. The respective approximation, called Rothe’s method, produces positive and exponentially bounded solutions. Its solutions converge to the exact solution of the original PDE.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Mathematica Slovaca no. 68, edition 1, pages 211 - 224,
ISSN: 0139-9918
Language:: English
Publication year:: 2018
Bibliographic description:: Bartłomiejczyk A., Leszczyński H., Marciniak A.: Rothe’s method for physiologically structured models with diffusion// Mathematica Slovaca. -Vol. 68, iss. 1 (2018), s.211-224
DOI:: Digital Object Identifier (open in new tab) 10.1515/ms-2017-0094
Verified by:: Gdańsk University of Technology