Reproducing kernel Hilbert space method for solutions of a coefficient inverse problem for the kinetic equation

Abstract

On the basis of a reproducing kernel Hilbert space, reproducing kernel functionsfor solving the coefficient inverse problem for the kinetic equation aregiven in this paper. Reproducing kernel functions found in the reproducingkernel Hilbert space imply that they can be considered for solving such inverseproblems. We obtain approximate solutions by reproducing kernel functions.We show our results by a table. We prove the efficiency of the reproducingkernel Hilbert space method for solutions of a coefficient inverse problem forthe kinetic equation.