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A singularly perturbed problem of photon transport in a time‐dependent region
Author(s) -
Riganti R.,
Salvarani F.
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.313
Subject(s) - mathematics , uniqueness , domain (mathematical analysis) , mathematical analysis , differential equation , exact solutions in general relativity
The paper is devoted to the numerical study of a singularly perturbed transport linear integro‐differential equation, in a time‐dependent domain with slab geometry. After a brief summary on existence and uniqueness results for such a model, we test the error between the exact solution and its quasi‐static approximation , which satisfies a simpler equation. Copyright © 2002 John Wiley & Sons, Ltd.
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