Abstract
A weighted residual method based on generalized Jacobi polynomials is proposed to solve a class of eigenvalue problems governing the linear stability of the mechanical equilibria of certain fluids occurring in complex circumstances. One concrete natural convection problem of great interest from the applications point of view is numerically investigated. Fairly accurate approximations of the lower part of the spectrum are given in comparison with other numerical evaluations existing in the literature.
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Dragomirescu, F.I. (2011). A \({P}_{n}^{\alpha ,\beta}\)-Based Method for Linear Nonconstant Coefficients High Order Eigenvalue Problems. In: Hesthaven, J., Rønquist, E. (eds) Spectral and High Order Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15337-2_36
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DOI: https://doi.org/10.1007/978-3-642-15337-2_36
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