| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 2, 2011
Modelling of plant growth
|
|
|---|---|---|
| Page(s) | 160 - 172 | |
| DOI | https://doi.org/10.1051/mmnp/20116206 | |
| Published online | 01 March 2011 | |
Transport Equation Reduction for a Mathematical Model in Plant Growth
1
Department of Mathematics and computing, Hassan II University,
Sciences Faculty, POB 5366
Maarif, Casablanca,
Morocco
2
Université de Lyon, INSA de Lyon, ICJ UMR CNRS
5028, 69100
Villeurbanne cedex
France
⋆
Corresponding author. E-mail: boujena@yahoo.fr
In this article a variational reduction method, how to handle the case of heterogenous domains for the Transport equation, is presented. This method allows to get rid of the restrictions on the size of time steps due to the thin parts of the domain. In the thin part of the domain, only a differential problem, with respect to the space variable, is to be approximated numerically. Numerical results are presented with a simple example. The variational reduction method can be extended to thin domains multi-branching in 3 dimensions, which is a work in progress.
Mathematics Subject Classification: 35Q92 / 92C80
Key words: plant growth / nutrients / hormones / concentration / transport / domain decomposition / asymptotic expansion / MAPDD
© EDP Sciences, 2011
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