Numerical Solution of a Kind of Boundary Inverse Problem for Parabolic Equation

In this paper, a numerical method is proposed for determining boundary conditions in an inverse parabolic problem. Applying the superposition principle and function transformation, a kind of boundary inverse problem for inhomogeneous parabolic equation is reduced to a kind of boundary inverse problem for homogeneous parabolic equation. The Tikhonov regularization method and the least-squares method are adopted to modify the solution. Numerical results show that excellent estimation on the time-dependent boundary fluxes can be obtained with small disturbance measured data.