@article {IOPORT.05299956, author = {Dragomirescu, Ioana}, title = {Shifted polynomials in a convection problem.}, year = {2008}, journal = {Applied Mathematics \& Information Sciences}, volume = {2}, number = {2}, issn = {1935-0090}, pages = {163-172}, publisher = {Natural Sciences Publishing Co., Bahrain}, abstract = {Summary: We investigate the onset of convection in a horizontal layer of fluid heated from below in the presence of a gravity field varying across the layer. The eigenvalue problem governing the linear stability of mechanic equilibria of the fluid layer in the case of free boundaries is solved using a Galerkin method based on shifted polynomials (Legendre and Chebyshev polynomials).}, identifier = {05299956}, }