Reproducing Kernel Function Method for Backward Heat Conduction Problem

Backward heat conduction problems arise in many branches of engineering sciences, for instance, the determination of temperature in modeling and control processes with heat propagation in thermophysics and mechanics of continuous media. Some kinds of evaluation techniques to determine the unknown temperature distribution and heat flux history in an inaccessible domain from measured data are indispensable for industrial and engineering applications. Studies of the complicated phenomena are particularly challenging for quantitative analyses and modelling.The aim of this project is to provide a theoretical background and justification for these non-destructive evaluation techniques. Based on the theoretical result, the researchers will develop an efficient computational method for solving backward heat conduction problems.