This paper delves into a rapid and accurate numerical solution for the inverse problem of the
nonlinear diffusion equation in the context of multiphase porous media flow. For the …

This study focuses on source term inversion in fractional partial differential equations,
specifically applied to photoacoustic imaging. This work contributes to advancing imaging …

In this paper, we study the flux identification problem for a nonlinear time-fractional
viscoelastic equation with a general source function based on the boundary measurements …

In this work, we consider the topological gradient method to deal with an inverse problem
associated with three-dimensional Stokes equations. The problem consists in detecting …

This work is devoted to a topological asymptotic expansion for the nonlinear Navier–Stokes
operator. We consider the 3D Navier–Stokes equations as a model problem and we derive a …

The detection problem of a finite number of source points acting on a steady incompressible
fluid flow from overdetermined boundary data was studied. The approach used in this study …

In this paper, we consider an inverse problem for a partial differential equation involving the
fractional spectral Laplacian, that is, to identify the source term from a partial internal …