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In this paper,a non-isotropic Jacobi pseudospectral method is proposed and its applications are considered.Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bestein-Jackson type inequalities are established,which play an important role in pseudospectral method.The pseudospectral method is applied to a twodimensional singular problem and a problem on axisymmetric domain.The convergence of proposed schemes is established.Numerical results demonstrate the efficiency of the proposed method.