An inverse model for determining the wall heat flux in filmwise condensation on a horizontal plate is presented. The inverse analysis is based on the film-condensation-thickness readings taken at several different points on the plate. Finite-difference methods are employed to discretize the problem domain and then a linear inverse model is constructed to identify the unknown conditions. This approach taken is to rearrange the matrix forms of the differential governing equation and estimate the unknown surface conditions. Then, the linear least-squares method is adopted to find the solution. In the direct problem, the present study considers that the boundary condition at the plate edge can be directly obtained from the concept of minimum energy inherited from the condensate flow rate rather than arbitrarily assumed. For the condensation problem, the governing equation is nonlinear. This paper proposes a linear transformation for solving both inverse and direct problems. In contrast to the traditional approach, the advantage of applying this method to inverse analysis is that no prior information on the functional form of the unknown quantities is needed, no initial guess is required and the iterations of the calculation process need be done once only.