On an Iterative Method for Approximate Solutions of a Generalized Boussinesq Model
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- Boldrini, J.L., Climent-Ezquerra, B., Rojas-Medar, M.D. et al. J. Math. Fluid Mech. (2011) 13: 33. doi:10.1007/s00021-009-0001-6
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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.