@Article{EAJAM-1-284, author = {Xu-Hong Yu and Zhong-Qing Wang}, title = {Mixed Fourier-Jacobi Spectral Method for Two-Dimensional Neumann Boundary Value Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {1}, number = {3}, pages = {284--296}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.281010.200411a}, url = {http://global-sci.org/intro/article_detail/eajam/10909.html} }