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Distribution in TLM models for diffusion (Part I: one-dimensional treatment). (English) Zbl 0993.78025

Summary: 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.

MSC:

78M25 Numerical methods in optics (MSC2010)
76R50 Diffusion
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References:

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