In this work, we consider an inverse diffusion-convection problem with an unknown function in the boundary condition. Since, in the sense of stability, this inverse problem is generally ill-posed, a mollifهcation regularization technique is utilized. Then, a sixth-kind Chebyshev-collocation method will be introduced to solve the resulted mollifهed problem. At the end, to validate the accuracy of the proposed method a numerical example is investigated.
