@Article{EAJAM-1-3,
author = {},
title = {Mixed Fourier-Jacobi Spectral Method for Two-Dimensional Neumann Boundary Value Problems},
journal = {East Asian Journal on Applied Mathematics},
year = {2011},
volume = {1},
number = {3},
pages = {284--296},
abstract = {<p style="text-align: justify;">In this paper, we propose a mixed Fourier-Jacobi spectral method for two
dimensional Neumann boundary value problem. This method differs from the classical
spectral method. The homogeneous Neumann boundary condition is satisfied exactly.
Moreover, a tridiagonal matrix is employed, instead of the full stiffness matrix encountered
in the classical variational formulation. For analyzing the numerical error, we
establish the mixed Fourier-Jacobi orthogonal approximation. The convergence of proposed
scheme is proved. Numerical results demonstrate the efficiency of this approach.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.281010.200411a},
url = {https://global-sci.com/article/82873/mixed-fourier-jacobi-spectral-method-for-two-dimensional-neumann-boundary-value-problems}
}