INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, vol.23, no.5, pp.884-900, 2015 (SCI-Expanded)
In this paper, we consider the problem of determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional quasilinear heat equation with periodic boundary and integral overdetermination conditions. We establish conditions for the existence, uniqueness and continuous dependent of a classical solution of the problem under considerations. We present some results on the numerical solution with two examples.