Distribution in TLM models for diffusion (Part 1: one-dimensional treatment)

P. Chardaire, D. de Cogan

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3 Citations (Scopus)


The signal obtained at each time step of a TLM simulation for one-dimensional diffusion is analysed for single shot injections. A combinatorial formula is provided to predict the signal value at any given spatial positions. Formulas for expectation and variance are obtained using a technique based on generating functions. We briefly compare the resulting variance and that of the underlying diffusion process.
Original languageEnglish
Pages (from-to)317-327
Number of pages11
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Issue number3
Publication statusPublished - 2002

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