Source identification problems for hyperbolic differential and difference equations

In the present study, a source identification problem for a one-dimensional hyperboic equation is studied. Using tools operator approach we are enabled to establish stability estimates for the solution of the source identification problem. Furthermore, a first order accuracy difference scheme for the numerical solution of the source identification problem is presented. Then, this difference scheme is tested on an example and some numerical results are presented. © 2017 Author(s).