ABSTRACT
In this research, a simultaneous estimation of heat source and boundary conditions using parameter and function-estimation techniques is presented for the solution of two-dimensional transient inverse heat conduction problem (IHCP). The IHCP involves simultaneous unknown time varying heat generation and time-space varying boundary conditions estimation. Two techniques are considered, Levenberg-Marquardt scheme for parameter estimation and adjoint conjugate gradient method for function estimation. To have fewer numbers of unknown coefficients for estimation, polynomials are used in the parameter estimation scheme. The measured transient temperature data needed in the inverse solution are made by exact or inexact (noisy) data. The results of the present study are compared to exact heat source and temperature (heat flux) boundary conditions.
