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Phys. Rev. E 64, 035601(R) (2001) [4 pages]

Inverse scattering for the diffusion equation with general boundary conditions

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Vadim A. Markel and John C. Schotland
Department of Electrical Engineering, Washington University, St. Louis, Missouri 63130

Received 26 July 2000; published 28 August 2001

We consider the inverse scattering problem for the diffusion equation. A solution to this problem in the form of an explicit inversion formula is derived. Computer simulations are used illustrate our approach in model systems.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.035601
DOI:
10.1103/PhysRevE.64.035601
PACS:
42.30.Wb, 41.20.Jb, 42.62.Be