By M. S a n t o s d a R o c h a 1 , M a r k o A. R o j a s-M e d a r 1 a n d M. D r i n a R o j a s-M e d a r 2

Abstract. An iterative method is proposed for finding approximate solutions of an initial and boundary value problem for a nonstationary generalized Boussinesq model for thermally driven convection of fluids with temperature dependent viscosity and thermal conductivity. Under certain conditions, it is proved that such approximate solutions converge to a solution of the original problem; moreover, convergence-rate bounds for the constructed approximate solutions are also obtained.

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