Inverse scattering for the diffusion equation with general boundary conditions.

Autor: Markel VA; Department of Electrical Engineering, Washington University, St. Louis, Missouri 63130, USA., Schotland JC
Jazyk: angličtina
Zdroj: Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2001 Sep; Vol. 64 (3 Pt 2), pp. 035601. Date of Electronic Publication: 2001 Aug 28.
DOI: 10.1103/PhysRevE.64.035601
Abstrakt: 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.
Databáze: MEDLINE