A spectral regularization method for solving surface heat flux on a general sideways parabolic

We consider a general sideways heat equation, which is a well known ill-posed problem: a small noise in the exact data may cause dramatically large errors in the solution. The literature available are mainly devoted to determining the temperature with constant coefficients equation. In this paper, a Fourier regularization method for determining surface heat flux is given. An error estimate for a general sideways parabolic equation is established.