Regularization to solve a non-standard inverse heat conduction problem

We consider a non-standard inverse heat conduction problem. The problem is ill-posed,in the sense that the solution (if it exists) does not depend continuously on the data. A new algorithm is proposed to regularize this problem by a Fourier-based approximation. The stability of this problem is recovered and the error estimate is given. This algorithm keeps parts of high-frequency components of the…