A Generalized Finite-Differences Scheme Used in Modeling of a Direct and an Inverse Problem of Advection-Diffusion

Abstract

This work presents the use of a schemes in generalized finitedifferences for the calculation of a numeric solution associated to a stationary, advection-diffusion problem, and the usage of such schemes in the study of an inverse problem related to this one, in which a non-linear, regularized leastsquares adjustment is employed to determine certain coefficients involved in the problem.