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This presentation abstract, presented at 12th Applied Inverse Problems Conference, to be held at FGV EMAp, Rio de Janeiro, Brazil, in 2025, describe the theory results of applying the Chebyshev pseudospectral method (CPM) to reconstruct the anisotropic transient diffusion in a transiente two-dimensional diffusion model with boundary conditions. This model can be easily applied to a wide range of diffusion phenomena across various science domains.

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