SOLVING AN INCOMPLETE DATA INVERSE PROBLEM BY A PSEUDO-SPECTRAL APPROXIMATION METHOD WITH A NON-STANDARD APPROACH
In this paper, we present a numerical method for determining the final state of the heat equations system with homogeneous Dirichlet boundary condition and incomplete initial data. An approach that consists in transforming this problem into an exact null controllability one is performed. Then the desired unknown state is computed using a pseudo-spectral method with Chebyshev collocation points.
inverse problem, null controllability, pseudo-spectral approximation, adjoint model.
