Far Eastern Mathematical Journal

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Inverse problem of identification of the diffusion coefficient in diffision-reaction equation

I. S. Vakhitov

2010, issue 2, P. 93–105

Abstract

The solvability and uniqueness of inverse extremum problem of identification of the diffusion coefficient in a two-dimensional diffusion-reaction equation are proved. The numerical algorithm of solving the inverse problem is developted and realized. The results of numerical experiments are discussed.

Keywords: elliptic equation, identification problem, diffusion coefficient, Newton method, uniqueness

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References

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