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Transport Equation Reduction for a Mathematical Model in Plant Growth

Published online by Cambridge University Press:  01 March 2011

S. Boujena ,
A. Chiboub  and
J. Pousin
S. Boujena*
Affiliation:
Department of Mathematics and computing, Hassan II University, Sciences Faculty, POB 5366 Maarif, Casablanca, Morocco
A. Chiboub
Affiliation:
Department of Mathematics and computing, Hassan II University, Sciences Faculty, POB 5366 Maarif, Casablanca, Morocco
J. Pousin
Affiliation:
Université de Lyon, INSA de Lyon, ICJ UMR CNRS 5028, 69100 Villeurbanne cedex France
*
⋆ Corresponding author. E-mail: boujena@yahoo.fr
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Abstract

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.

Keywords

plant growthnutrientshormonesconcentrationtransportdomain decompositionasymptotic expansionMAPDD
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 2: Modelling of plant growth , 2011 , pp. 160 - 172
Copyright
© EDP Sciences, 2011

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References

Références

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