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

P. Chardaire; D. de Cogan

doi:10.1002/jnm.446

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

P. Chardaire, D. de Cogan

School of Computing Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	317-327
Number of pages	11
Journal	International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume	15
Issue number	3
DOIs	https://doi.org/10.1002/jnm.446
Publication status	Published - 2002

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10.1002/jnm.446

Cite this

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abstract = "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.",

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AB - 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.

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