On the stability of a time-dependent source identification problem
||On the stability of a time-dependent source identification problem
||Allaberen Ashyralyev, Ali Ugur Sazaklioglu
||finite difference method, integral condition, stability, almost coercivity
||In this study, a time-dependent source identification problem subject to an integral overdetermined condition is considered. The stability inequalities for the solution of this problem are presented. Rothe and Crank-Nicholson difference schemes are constructed for the numerical solution of this problem. Moreover, stability and almost coercive stability inequalities for these difference schemes are given.