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Distribution in TLM models for diffusion (Part I: one-dimensional treatment)
Authors:P. Chardaire  D. de Cogan
Affiliation:School of Information Systems, University of East Anglia, Norwich, NR4 7TJ, UK
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. Copyright © 2002 John Wiley & Sons, Ltd.
Keywords:transmission line matrix  TLM  diffusion
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