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Transport Equation Reduction for a Mathematical Model in PlantGrowth

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 heterogenousdomains for the Transport equation, is presented. This method allows to get rid of therestrictions on the size of time steps due to the thin parts of the domain. In the thinpart of the domain, only a differential problem, with respect to the space variable, is tobe approximated numerically. Numerical results are presented with a simple example. Thevariational reduction method can be extended to thin domains multi-branching in 3dimensions, 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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