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On an Iterative Method for Approximate Solutions of a Generalized Boussinesq Model |
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| Authors: | Jos�� Luiz Boldrini Blanca Climent-Ezquerra Mar��a Drina Rojas-Medar Marko A. Rojas-Medar |
| Affiliation: | 1. IMECC-UNICAMP, CP 6065, Campinas, 13083-859, SP, Brazil 2. Dpto. de Ecuaciones Diferenciales y An??lisis Num??rico Facultad de Matem??ticas, Universidad de Sevilla, 41012, Sevilla, Spain 3. Dpto. de Matem??tica, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile 4. Dpto. de Ciencias B??sicas, Facultad de Ciencias, Universidad del B??o-B??o, Campus Fernando May Casilla 447, Chill??n, Chile |
| 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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