Kanca, Fatma2019-06-272019-06-27201381029-242X1029-242Xhttps://hdl.handle.net/20.500.12469/853https://doi.org/10.1186/1029-242X-2013-108In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of a heat equation with periodic boundary and integral overdetermination conditions is considered. The conditions for the existence and uniqueness of a classical solution of the problem under consideration are established. A numerical example using the Crank-Nicolson finite-difference scheme combined with the iteration method is presented.eninfo:eu-repo/semantics/openAccessArticleWOS:00032356570000110.1186/1029-242X-2013-1082-s2.0-84894384145N/AQ2