Determination of a time-dependent diffusivity from nonlocal conditions
The inverse problem of determining the temperature and the time-dependent thermal diffusivity from various additional nonlocal information is investigated. These nonlocal conditions can come in the form of an internal or boundary energy, or, in the one-dimensional case, as a difference boundary temperature or heat flux so as to ensure the uniqueness of solution for the heat conduction equation with unknown thermal diffusivity coefficient. The Ritz-Galerkin method with satisfier function is employed to solve the inverse problems numerically. Numerical results are presented and discussed.
nonlocal conditions inverse problem thermal diffusivity ritz-galerkin method heat equation 49n45 65m32