TY - JOUR
T1 - Mixed Fourier-Jacobi Spectral Method for Two-Dimensional Neumann Boundary Value Problems
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 284
EP - 296
PY - 2018
DA - 2018/02
SN - 1
DO - http://doi.org/10.4208/eajam.281010.200411a
UR - https://global-sci.org/intro/article_detail/eajam/10909.html
KW - Mixed Fourier-Jacobi orthogonal approximation, spectral method, Neumann boundary value problem.
AB - <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>