Solvability of a Two Dimensional Coefficient Inverse Problem for Transport Equation and a Numerical Method

Abstract

In this article we present the solvability of an overdetermined coefficient inverse problem for planar transport equation with no scattering. To compute the approximate solution of the problem we propose a numerical method by using centered difference formulas where the data is given on a part of the boundary of the domain rather than the whole boundary. To demonstrate the computational feasibility of the proposed approximation method, some computational experiments are performed and the results are presented.