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Space-fractional advection-diffusion and reflective boundary condition

✍ Scribed by Krepysheva, Natalia; Di Pietro, Liliana; Néel, Marie-Christine

Book ID
120974201
Publisher
The American Physical Society
Year
2006
Tongue
English
Weight
147 KB
Volume
73
Category
Article
ISSN
1063-651X

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Fractional diffusion and reflective boun
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## Abstract Consider the advection–diffusion equation: u~1~ + au~x1~ − vδu = 0 in ℝ^n^ × ℝ^+^ with initial data u^0^; the Support of u^0^ is contained in ℝ(x~1~ < 0) and a: ℝ^n^ → ℝ is positive. In order to approximate the full space solution by the solution of a problem in ℝ × ℝ^+^, we propose the