On an Iterative Method for the Approximate Solution of an Initial and Boundary-Value Problem for a Generalized Boussinesq Model

In this work an iteractive method is proposed for finding the approximate solution of an initial and boundary problem for a nonstationary Generalized Boussinesq model for thermally driven convection. The model allows temperature dependent viscosity and thermal conductivity. We give also the convergence rate bounds for the propost method.