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Various basis functions based on Fourier-Chebyshev Petrov-Galerkin spectral   method are described for computation of temporal linear stability of a   circular jet. Basis functions presented here are exponentially mapped   Chebyshev functions. There is a linear dependence between the components of   the perturbation vector field, and there are only two degrees of freedom for   the perturbation continuum equation. According to the principle of   permutation and combination, the basis function has three basic forms, i. e.,   the radial, azimuthal or axial component, respectively. The results show that   three eigenvalues for various cases are consistent, but there is a preferable   basis function for numerical computation

A comparison of various basis functions based on meshless local Petrov-Galerkin method for linear stability of circular jet