Abstract

MURIO, DIEGO A.  and  MEJIA, CARLOS E.. Source terms identification for time fractional diffusion equation. Rev.colomb.mat. [online]. 2008, vol.42, n.1, pp.25-46. ISSN 0034-7426.

We introduce a regularization technique for the approximate reconstruction of spatial and time varying source terms using the observed solutions of the forward time fractional diffusion problem on a discrete set of points. The numerical method is based on computation of the derivatives of adaptive filtered versions of the noisy data by discrete mollification.

Keywords : Ill-Posed Problems; heat source identification; Caputofractional derivatives; time fractional diffusion equation; mollification techniques.

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