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Transport Equation Reduction for a Mathematical Model in Plant Growth
Published online by Cambridge University Press: 01 March 2011
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
- 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