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Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport

Sandra PieracciniRiccardo RigantiAldo Belleni-Morante — 2007

Bollettino dell'Unione Matematica Italiana

The time-dependent intensity of a UV -photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the direct problem, an iterative procedure is used to compute the values of the source intensity at increasing values of time, and it is applied in some numerical simulations, whose results are presented and discussed.

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