Abstract
Classical numerical methods exhibit numerical discrepancies, when we are dealing with the transport equation in domain of heterogeneous sizes. In this work, a numerical scheme, based on a domain decomposition strategy is built to avoid numerical discrepancies. Let us mention that this work is inspired from the results given in Picq and Pousin (Variational reduction for the transport equation and plants growth, 2007).
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References
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This work has been supported with a grant PHC Volubilis from the French foreign office and the marocain ministry of education and research MA/11/246.
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Boujena, S., Chiboub, A. & Pousin, J. A numerical schema for the transport of nutrients and hormones in plant growth. Afr. Mat. 25, 439–448 (2014). https://doi.org/10.1007/s13370-012-0129-z
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DOI: https://doi.org/10.1007/s13370-012-0129-z