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[Abstract = "An algorithm was developed for solving transient, three-dimensional, quasi-linear, inverseproblems of heat and mass transport in nonhomogeneous agricultural products of irregular geometry. Anumerical approach consisted of an optimization technique and a generalized finite element method, withthe use of isoparametric, curvilinear, 3D-space elements, and a three-point recurrence scheme in time,absolutely stable, with iterative procedure to deal with the quasi-linearity of equations. A computer programwas developed and the method was applied to estimate the moisture diffusion coefficient, and thento predict heat and moisture transport in individual corn kernels during drying."]